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Finding the Fourth Proportional to 653.60, 900.40 and 456.76

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Solution

The fourth proportional to 653.60, 900.40 and 456.76 is: 629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.60 : 900.40 = 456.76 : x
  2. Step 2: Convert to fraction form
    653.60/900.40 = 456.76/x
  3. Step 3: Cross multiply
    653.60x = 900.40 × 456.76
  4. Step 4: Simplify right side
    653.60x = 411,266.70
  5. Step 5: Solve for x
    x = 411,266.70/653.60
  6. Step 6: Final answer
    x = 629.23

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Half scale
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Double scale
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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.