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Finding the Fourth Proportional to 658.75, 909.03 and 364.00

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Solution

The fourth proportional to 658.75, 909.03 and 364.00 is: 502.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.75 : 909.03 = 364.00 : x
  2. Step 2: Convert to fraction form
    658.75/909.03 = 364.00/x
  3. Step 3: Cross multiply
    658.75x = 909.03 × 364.00
  4. Step 4: Simplify right side
    658.75x = 330,882.37
  5. Step 5: Solve for x
    x = 330,882.37/658.75
  6. Step 6: Final answer
    x = 502.29

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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.