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Finding the Fourth Proportional to 614.60, 924.03 and 493.71

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Solution

The fourth proportional to 614.60, 924.03 and 493.71 is: 742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.60 : 924.03 = 493.71 : x
  2. Step 2: Convert to fraction form
    614.60/924.03 = 493.71/x
  3. Step 3: Cross multiply
    614.60x = 924.03 × 493.71
  4. Step 4: Simplify right side
    614.60x = 456,199.39
  5. Step 5: Solve for x
    x = 456,199.39/614.60
  6. Step 6: Final answer
    x = 742.27

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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.