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Finding the Fourth Proportional to 463.02, 638.89 and 297.20

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Solution

The fourth proportional to 463.02, 638.89 and 297.20 is: 410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.02 : 638.89 = 297.20 : x
  2. Step 2: Convert to fraction form
    463.02/638.89 = 297.20/x
  3. Step 3: Cross multiply
    463.02x = 638.89 × 297.20
  4. Step 4: Simplify right side
    463.02x = 189,873.43
  5. Step 5: Solve for x
    x = 189,873.43/463.02
  6. Step 6: Final answer
    x = 410.08

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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.