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Finding the Fourth Proportional to 546.15, 753.68 and 297.46

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Solution

The fourth proportional to 546.15, 753.68 and 297.46 is: 410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.15 : 753.68 = 297.46 : x
  2. Step 2: Convert to fraction form
    546.15/753.68 = 297.46/x
  3. Step 3: Cross multiply
    546.15x = 753.68 × 297.46
  4. Step 4: Simplify right side
    546.15x = 224,188.17
  5. Step 5: Solve for x
    x = 224,188.17/546.15
  6. Step 6: Final answer
    x = 410.49

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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.