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Finding the Fourth Proportional to 658.81, 909.05 and 379.05

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Solution

The fourth proportional to 658.81, 909.05 and 379.05 is: 523.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.81 : 909.05 = 379.05 : x
  2. Step 2: Convert to fraction form
    658.81/909.05 = 379.05/x
  3. Step 3: Cross multiply
    658.81x = 909.05 × 379.05
  4. Step 4: Simplify right side
    658.81x = 344,574.45
  5. Step 5: Solve for x
    x = 344,574.45/658.81
  6. Step 6: Final answer
    x = 523.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.