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Finding the Fourth Proportional to 546.12, 753.65 and 297.44

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Solution

The fourth proportional to 546.12, 753.65 and 297.44 is: 410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.12 : 753.65 = 297.44 : x
  2. Step 2: Convert to fraction form
    546.12/753.65 = 297.44/x
  3. Step 3: Cross multiply
    546.12x = 753.65 × 297.44
  4. Step 4: Simplify right side
    546.12x = 224,165.66
  5. Step 5: Solve for x
    x = 224,165.66/546.12
  6. Step 6: Final answer
    x = 410.47

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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.