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Finding the Fourth Proportional to 614.73, 924.22 and 493.84

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Solution

The fourth proportional to 614.73, 924.22 and 493.84 is: 742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.73 : 924.22 = 493.84 : x
  2. Step 2: Convert to fraction form
    614.73/924.22 = 493.84/x
  3. Step 3: Cross multiply
    614.73x = 924.22 × 493.84
  4. Step 4: Simplify right side
    614.73x = 456,412.18
  5. Step 5: Solve for x
    x = 456,412.18/614.73
  6. Step 6: Final answer
    x = 742.46

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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.