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Finding the Fourth Proportional to 463.50, 639.48 and 297.84

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Solution

The fourth proportional to 463.50, 639.48 and 297.84 is: 410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.50 : 639.48 = 297.84 : x
  2. Step 2: Convert to fraction form
    463.50/639.48 = 297.84/x
  3. Step 3: Cross multiply
    463.50x = 639.48 × 297.84
  4. Step 4: Simplify right side
    463.50x = 190,462.72
  5. Step 5: Solve for x
    x = 190,462.72/463.50
  6. Step 6: Final answer
    x = 410.92

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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.