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Finding the Fourth Proportional to 658.74, 909.05 and 364.00

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Solution

The fourth proportional to 658.74, 909.05 and 364.00 is: 502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.74 : 909.05 = 364.00 : x
  2. Step 2: Convert to fraction form
    658.74/909.05 = 364.00/x
  3. Step 3: Cross multiply
    658.74x = 909.05 × 364.00
  4. Step 4: Simplify right side
    658.74x = 330,896.25
  5. Step 5: Solve for x
    x = 330,896.25/658.74
  6. Step 6: Final answer
    x = 502.32

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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.