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Finding the Fourth Proportional to 614.08, 920.16 and 493.12

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Solution

The fourth proportional to 614.08, 920.16 and 493.12 is: 738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.08 : 920.16 = 493.12 : x
  2. Step 2: Convert to fraction form
    614.08/920.16 = 493.12/x
  3. Step 3: Cross multiply
    614.08x = 920.16 × 493.12
  4. Step 4: Simplify right side
    614.08x = 453,749.30
  5. Step 5: Solve for x
    x = 453,749.30/614.08
  6. Step 6: Final answer
    x = 738.91

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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.