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Finding the Fourth Proportional to 546.54, 753.89 and 415.32

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Solution

The fourth proportional to 546.54, 753.89 and 415.32 is: 572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.54 : 753.89 = 415.32 : x
  2. Step 2: Convert to fraction form
    546.54/753.89 = 415.32/x
  3. Step 3: Cross multiply
    546.54x = 753.89 × 415.32
  4. Step 4: Simplify right side
    546.54x = 313,105.59
  5. Step 5: Solve for x
    x = 313,105.59/546.54
  6. Step 6: Final answer
    x = 572.89

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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.