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Finding the Fourth Proportional to 463.16, 639.06 and 297.35

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Solution

The fourth proportional to 463.16, 639.06 and 297.35 is: 410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.16 : 639.06 = 297.35 : x
  2. Step 2: Convert to fraction form
    463.16/639.06 = 297.35/x
  3. Step 3: Cross multiply
    463.16x = 639.06 × 297.35
  4. Step 4: Simplify right side
    463.16x = 190,024.49
  5. Step 5: Solve for x
    x = 190,024.49/463.16
  6. Step 6: Final answer
    x = 410.28

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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.