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Finding the Fourth Proportional to 463.34, 640.37 and 398.95

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Solution

The fourth proportional to 463.34, 640.37 and 398.95 is: 551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.34 : 640.37 = 398.95 : x
  2. Step 2: Convert to fraction form
    463.34/640.37 = 398.95/x
  3. Step 3: Cross multiply
    463.34x = 640.37 × 398.95
  4. Step 4: Simplify right side
    463.34x = 255,475.01
  5. Step 5: Solve for x
    x = 255,475.01/463.34
  6. Step 6: Final answer
    x = 551.37

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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.