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Finding the Fourth Proportional to 546.45, 753.15 and 468.69

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Solution

The fourth proportional to 546.45, 753.15 and 468.69 is: 645.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.45 : 753.15 = 468.69 : x
  2. Step 2: Convert to fraction form
    546.45/753.15 = 468.69/x
  3. Step 3: Cross multiply
    546.45x = 753.15 × 468.69
  4. Step 4: Simplify right side
    546.45x = 352,990.17
  5. Step 5: Solve for x
    x = 352,990.17/546.45
  6. Step 6: Final answer
    x = 645.97

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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.