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Finding the Fourth Proportional to 468.28, 645.77 and 424.14

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Solution

The fourth proportional to 468.28, 645.77 and 424.14 is: 584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.28 : 645.77 = 424.14 : x
  2. Step 2: Convert to fraction form
    468.28/645.77 = 424.14/x
  3. Step 3: Cross multiply
    468.28x = 645.77 × 424.14
  4. Step 4: Simplify right side
    468.28x = 273,895.53
  5. Step 5: Solve for x
    x = 273,895.53/468.28
  6. Step 6: Final answer
    x = 584.90

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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.