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Finding the Fourth Proportional to 546.93, 754.24 and 415.71

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Solution

The fourth proportional to 546.93, 754.24 and 415.71 is: 573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.93 : 754.24 = 415.71 : x
  2. Step 2: Convert to fraction form
    546.93/754.24 = 415.71/x
  3. Step 3: Cross multiply
    546.93x = 754.24 × 415.71
  4. Step 4: Simplify right side
    546.93x = 313,545.11
  5. Step 5: Solve for x
    x = 313,545.11/546.93
  6. Step 6: Final answer
    x = 573.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.