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Finding the Fourth Proportional to 542.31, 813.57 and 322.88

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Solution

The fourth proportional to 542.31, 813.57 and 322.88 is: 484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.31 : 813.57 = 322.88 : x
  2. Step 2: Convert to fraction form
    542.31/813.57 = 322.88/x
  3. Step 3: Cross multiply
    542.31x = 813.57 × 322.88
  4. Step 4: Simplify right side
    542.31x = 262,681.41
  5. Step 5: Solve for x
    x = 262,681.41/542.31
  6. Step 6: Final answer
    x = 484.38

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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.