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Finding the Fourth Proportional to 463.40, 638.72 and 407.24

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Solution

The fourth proportional to 463.40, 638.72 and 407.24 is: 561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.40 : 638.72 = 407.24 : x
  2. Step 2: Convert to fraction form
    463.40/638.72 = 407.24/x
  3. Step 3: Cross multiply
    463.40x = 638.72 × 407.24
  4. Step 4: Simplify right side
    463.40x = 260,112.33
  5. Step 5: Solve for x
    x = 260,112.33/463.40
  6. Step 6: Final answer
    x = 561.31

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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.