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Finding the Fourth Proportional to 501.84, 747.47 and 475.83

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Solution

The fourth proportional to 501.84, 747.47 and 475.83 is: 708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.84 : 747.47 = 475.83 : x
  2. Step 2: Convert to fraction form
    501.84/747.47 = 475.83/x
  3. Step 3: Cross multiply
    501.84x = 747.47 × 475.83
  4. Step 4: Simplify right side
    501.84x = 355,666.27
  5. Step 5: Solve for x
    x = 355,666.27/501.84
  6. Step 6: Final answer
    x = 708.72

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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.