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Finding the Fourth Proportional to 542.66, 813.36 and 217.58

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Solution

The fourth proportional to 542.66, 813.36 and 217.58 is: 326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.66 : 813.36 = 217.58 : x
  2. Step 2: Convert to fraction form
    542.66/813.36 = 217.58/x
  3. Step 3: Cross multiply
    542.66x = 813.36 × 217.58
  4. Step 4: Simplify right side
    542.66x = 176,970.87
  5. Step 5: Solve for x
    x = 176,970.87/542.66
  6. Step 6: Final answer
    x = 326.12

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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.