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Finding the Fourth Proportional to 500.41, 747.00 and 477.94

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Solution

The fourth proportional to 500.41, 747.00 and 477.94 is: 713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.41 : 747.00 = 477.94 : x
  2. Step 2: Convert to fraction form
    500.41/747.00 = 477.94/x
  3. Step 3: Cross multiply
    500.41x = 747.00 × 477.94
  4. Step 4: Simplify right side
    500.41x = 357,020.52
  5. Step 5: Solve for x
    x = 357,020.52/500.41
  6. Step 6: Final answer
    x = 713.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.