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Finding the Fourth Proportional to 546.87, 820.14 and 315.72

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Solution

The fourth proportional to 546.87, 820.14 and 315.72 is: 473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.87 : 820.14 = 315.72 : x
  2. Step 2: Convert to fraction form
    546.87/820.14 = 315.72/x
  3. Step 3: Cross multiply
    546.87x = 820.14 × 315.72
  4. Step 4: Simplify right side
    546.87x = 258,934.60
  5. Step 5: Solve for x
    x = 258,934.60/546.87
  6. Step 6: Final answer
    x = 473.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.