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Finding the Fourth Proportional to 463.86, 641.52 and 407.16

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Solution

The fourth proportional to 463.86, 641.52 and 407.16 is: 563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.86 : 641.52 = 407.16 : x
  2. Step 2: Convert to fraction form
    463.86/641.52 = 407.16/x
  3. Step 3: Cross multiply
    463.86x = 641.52 × 407.16
  4. Step 4: Simplify right side
    463.86x = 261,201.28
  5. Step 5: Solve for x
    x = 261,201.28/463.86
  6. Step 6: Final answer
    x = 563.10

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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.