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Finding the Fourth Proportional to 546.78, 818.86 and 314.97

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Solution

The fourth proportional to 546.78, 818.86 and 314.97 is: 471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.78 : 818.86 = 314.97 : x
  2. Step 2: Convert to fraction form
    546.78/818.86 = 314.97/x
  3. Step 3: Cross multiply
    546.78x = 818.86 × 314.97
  4. Step 4: Simplify right side
    546.78x = 257,916.33
  5. Step 5: Solve for x
    x = 257,916.33/546.78
  6. Step 6: Final answer
    x = 471.70

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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.