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Finding the Fourth Proportional to 493.20, 740.64 and 471.27

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Solution

The fourth proportional to 493.20, 740.64 and 471.27 is: 707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.20 : 740.64 = 471.27 : x
  2. Step 2: Convert to fraction form
    493.20/740.64 = 471.27/x
  3. Step 3: Cross multiply
    493.20x = 740.64 × 471.27
  4. Step 4: Simplify right side
    493.20x = 349,041.41
  5. Step 5: Solve for x
    x = 349,041.41/493.20
  6. Step 6: Final answer
    x = 707.71

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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.