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Finding the Fourth Proportional to 477.68, 658.82 and 320.26

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Solution

The fourth proportional to 477.68, 658.82 and 320.26 is: 441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.68 : 658.82 = 320.26 : x
  2. Step 2: Convert to fraction form
    477.68/658.82 = 320.26/x
  3. Step 3: Cross multiply
    477.68x = 658.82 × 320.26
  4. Step 4: Simplify right side
    477.68x = 210,990.40
  5. Step 5: Solve for x
    x = 210,990.40/477.68
  6. Step 6: Final answer
    x = 441.70

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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.