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Finding the Fourth Proportional to 463.75, 639.77 and 297.90

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Solution

The fourth proportional to 463.75, 639.77 and 297.90 is: 410.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.75 : 639.77 = 297.90 : x
  2. Step 2: Convert to fraction form
    463.75/639.77 = 297.90/x
  3. Step 3: Cross multiply
    463.75x = 639.77 × 297.90
  4. Step 4: Simplify right side
    463.75x = 190,585.99
  5. Step 5: Solve for x
    x = 190,585.99/463.75
  6. Step 6: Final answer
    x = 410.97

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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.