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Finding the Fourth Proportional to 624.59, 935.42 and 493.71

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Solution

The fourth proportional to 624.59, 935.42 and 493.71 is: 739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.59 : 935.42 = 493.71 : x
  2. Step 2: Convert to fraction form
    624.59/935.42 = 493.71/x
  3. Step 3: Cross multiply
    624.59x = 935.42 × 493.71
  4. Step 4: Simplify right side
    624.59x = 461,820.23
  5. Step 5: Solve for x
    x = 461,820.23/624.59
  6. Step 6: Final answer
    x = 739.40

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