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Finding the Fourth Proportional to 546.19, 753.81 and 452.79

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Solution

The fourth proportional to 546.19, 753.81 and 452.79 is: 624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.19 : 753.81 = 452.79 : x
  2. Step 2: Convert to fraction form
    546.19/753.81 = 452.79/x
  3. Step 3: Cross multiply
    546.19x = 753.81 × 452.79
  4. Step 4: Simplify right side
    546.19x = 341,315.93
  5. Step 5: Solve for x
    x = 341,315.93/546.19
  6. Step 6: Final answer
    x = 624.90

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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.