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Finding the Fourth Proportional to 546.72, 754.24 and 509.16

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Solution

The fourth proportional to 546.72, 754.24 and 509.16 is: 702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.72 : 754.24 = 509.16 : x
  2. Step 2: Convert to fraction form
    546.72/754.24 = 509.16/x
  3. Step 3: Cross multiply
    546.72x = 754.24 × 509.16
  4. Step 4: Simplify right side
    546.72x = 384,028.84
  5. Step 5: Solve for x
    x = 384,028.84/546.72
  6. Step 6: Final answer
    x = 702.42

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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.