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Finding the Fourth Proportional to 504.32, 756.61 and 456.12

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Solution

The fourth proportional to 504.32, 756.61 and 456.12 is: 684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.32 : 756.61 = 456.12 : x
  2. Step 2: Convert to fraction form
    504.32/756.61 = 456.12/x
  3. Step 3: Cross multiply
    504.32x = 756.61 × 456.12
  4. Step 4: Simplify right side
    504.32x = 345,103.81
  5. Step 5: Solve for x
    x = 345,103.81/504.32
  6. Step 6: Final answer
    x = 684.30

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.