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Finding the Fourth Proportional to 546.32, 753.92 and 297.64

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Solution

The fourth proportional to 546.32, 753.92 and 297.64 is: 410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.32 : 753.92 = 297.64 : x
  2. Step 2: Convert to fraction form
    546.32/753.92 = 297.64/x
  3. Step 3: Cross multiply
    546.32x = 753.92 × 297.64
  4. Step 4: Simplify right side
    546.32x = 224,396.75
  5. Step 5: Solve for x
    x = 224,396.75/546.32
  6. Step 6: Final answer
    x = 410.74

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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.