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Finding the Fourth Proportional to 546.48, 753.42 and 452.88

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Solution

The fourth proportional to 546.48, 753.42 and 452.88 is: 624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.48 : 753.42 = 452.88 : x
  2. Step 2: Convert to fraction form
    546.48/753.42 = 452.88/x
  3. Step 3: Cross multiply
    546.48x = 753.42 × 452.88
  4. Step 4: Simplify right side
    546.48x = 341,208.85
  5. Step 5: Solve for x
    x = 341,208.85/546.48
  6. Step 6: Final answer
    x = 624.38

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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.