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Finding the Fourth Proportional to 546.89, 819.10 and 315.23

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Solution

The fourth proportional to 546.89, 819.10 and 315.23 is: 472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.89 : 819.10 = 315.23 : x
  2. Step 2: Convert to fraction form
    546.89/819.10 = 315.23/x
  3. Step 3: Cross multiply
    546.89x = 819.10 × 315.23
  4. Step 4: Simplify right side
    546.89x = 258,199.22
  5. Step 5: Solve for x
    x = 258,199.22/546.89
  6. Step 6: Final answer
    x = 472.13

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