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Finding the Fourth Proportional to 658.81, 909.10 and 364.06

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Solution

The fourth proportional to 658.81, 909.10 and 364.06 is: 502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.81 : 909.10 = 364.06 : x
  2. Step 2: Convert to fraction form
    658.81/909.10 = 364.06/x
  3. Step 3: Cross multiply
    658.81x = 909.10 × 364.06
  4. Step 4: Simplify right side
    658.81x = 330,968.54
  5. Step 5: Solve for x
    x = 330,968.54/658.81
  6. Step 6: Final answer
    x = 502.37

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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.