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Finding the Fourth Proportional to 463.12, 638.98 and 297.22

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Solution

The fourth proportional to 463.12, 638.98 and 297.22 is: 410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.12 : 638.98 = 297.22 : x
  2. Step 2: Convert to fraction form
    463.12/638.98 = 297.22/x
  3. Step 3: Cross multiply
    463.12x = 638.98 × 297.22
  4. Step 4: Simplify right side
    463.12x = 189,917.64
  5. Step 5: Solve for x
    x = 189,917.64/463.12
  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.