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Finding the Fourth Proportional to 546.17, 753.71 and 297.48

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Solution

The fourth proportional to 546.17, 753.71 and 297.48 is: 410.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.17 : 753.71 = 297.48 : x
  2. Step 2: Convert to fraction form
    546.17/753.71 = 297.48/x
  3. Step 3: Cross multiply
    546.17x = 753.71 × 297.48
  4. Step 4: Simplify right side
    546.17x = 224,212.16
  5. Step 5: Solve for x
    x = 224,212.16/546.17
  6. Step 6: Final answer
    x = 410.52

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