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Finding the Fourth Proportional to 546.32, 753.18 and 428.42

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Solution

The fourth proportional to 546.32, 753.18 and 428.42 is: 590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.32 : 753.18 = 428.42 : x
  2. Step 2: Convert to fraction form
    546.32/753.18 = 428.42/x
  3. Step 3: Cross multiply
    546.32x = 753.18 × 428.42
  4. Step 4: Simplify right side
    546.32x = 322,677.38
  5. Step 5: Solve for x
    x = 322,677.38/546.32
  6. Step 6: Final answer
    x = 590.64

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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.