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Finding the Fourth Proportional to 439.11, 658.76 and 362.16

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Solution

The fourth proportional to 439.11, 658.76 and 362.16 is: 543.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.11 : 658.76 = 362.16 : x
  2. Step 2: Convert to fraction form
    439.11/658.76 = 362.16/x
  3. Step 3: Cross multiply
    439.11x = 658.76 × 362.16
  4. Step 4: Simplify right side
    439.11x = 238,574.71
  5. Step 5: Solve for x
    x = 238,574.71/439.11
  6. Step 6: Final answer
    x = 543.31

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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.