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Finding the Fourth Proportional to 589.34, 813.02 and 542.70

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Solution

The fourth proportional to 589.34, 813.02 and 542.70 is: 748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.34 : 813.02 = 542.70 : x
  2. Step 2: Convert to fraction form
    589.34/813.02 = 542.70/x
  3. Step 3: Cross multiply
    589.34x = 813.02 × 542.70
  4. Step 4: Simplify right side
    589.34x = 441,225.95
  5. Step 5: Solve for x
    x = 441,225.95/589.34
  6. Step 6: Final answer
    x = 748.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.