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Finding the Fourth Proportional to 653.68, 901.02 and 456.76

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Solution

The fourth proportional to 653.68, 901.02 and 456.76 is: 629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.68 : 901.02 = 456.76 : x
  2. Step 2: Convert to fraction form
    653.68/901.02 = 456.76/x
  3. Step 3: Cross multiply
    653.68x = 901.02 × 456.76
  4. Step 4: Simplify right side
    653.68x = 411,549.90
  5. Step 5: Solve for x
    x = 411,549.90/653.68
  6. Step 6: Final answer
    x = 629.59

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.