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Finding the Fourth Proportional to 658.68, 909.09 and 393.14

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Solution

The fourth proportional to 658.68, 909.09 and 393.14 is: 542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.68 : 909.09 = 393.14 : x
  2. Step 2: Convert to fraction form
    658.68/909.09 = 393.14/x
  3. Step 3: Cross multiply
    658.68x = 909.09 × 393.14
  4. Step 4: Simplify right side
    658.68x = 357,399.64
  5. Step 5: Solve for x
    x = 357,399.64/658.68
  6. Step 6: Final answer
    x = 542.60

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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.