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Finding the Fourth Proportional to 463.16, 638.86 and 297.58

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Solution

The fourth proportional to 463.16, 638.86 and 297.58 is: 410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.16 : 638.86 = 297.58 : x
  2. Step 2: Convert to fraction form
    463.16/638.86 = 297.58/x
  3. Step 3: Cross multiply
    463.16x = 638.86 × 297.58
  4. Step 4: Simplify right side
    463.16x = 190,107.28
  5. Step 5: Solve for x
    x = 190,107.28/463.16
  6. Step 6: Final answer
    x = 410.46

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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.