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Finding the Fourth Proportional to 658.99, 909.38 and 364.24

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Solution

The fourth proportional to 658.99, 909.38 and 364.24 is: 502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.99 : 909.38 = 364.24 : x
  2. Step 2: Convert to fraction form
    658.99/909.38 = 364.24/x
  3. Step 3: Cross multiply
    658.99x = 909.38 × 364.24
  4. Step 4: Simplify right side
    658.99x = 331,233.59
  5. Step 5: Solve for x
    x = 331,233.59/658.99
  6. Step 6: Final answer
    x = 502.64

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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.