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Finding the Fourth Proportional to 463.86, 691.92 and 438.48

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Solution

The fourth proportional to 463.86, 691.92 and 438.48 is: 654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.86 : 691.92 = 438.48 : x
  2. Step 2: Convert to fraction form
    463.86/691.92 = 438.48/x
  3. Step 3: Cross multiply
    463.86x = 691.92 × 438.48
  4. Step 4: Simplify right side
    463.86x = 303,393.08
  5. Step 5: Solve for x
    x = 303,393.08/463.86
  6. Step 6: Final answer
    x = 654.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.