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Finding the Fourth Proportional to 546.17, 747.04 and 537.66

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Solution

The fourth proportional to 546.17, 747.04 and 537.66 is: 735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.17 : 747.04 = 537.66 : x
  2. Step 2: Convert to fraction form
    546.17/747.04 = 537.66/x
  3. Step 3: Cross multiply
    546.17x = 747.04 × 537.66
  4. Step 4: Simplify right side
    546.17x = 401,653.19
  5. Step 5: Solve for x
    x = 401,653.19/546.17
  6. Step 6: Final answer
    x = 735.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.