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Finding the Fourth Proportional to 363.40, 542.68 and 359.62

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Solution

The fourth proportional to 363.40, 542.68 and 359.62 is: 537.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.40 : 542.68 = 359.62 : x
  2. Step 2: Convert to fraction form
    363.40/542.68 = 359.62/x
  3. Step 3: Cross multiply
    363.40x = 542.68 × 359.62
  4. Step 4: Simplify right side
    363.40x = 195,158.58
  5. Step 5: Solve for x
    x = 195,158.58/363.40
  6. Step 6: Final answer
    x = 537.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.