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Finding the Fourth Proportional to 612.47, 844.56 and 463.43

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Solution

The fourth proportional to 612.47, 844.56 and 463.43 is: 639.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.47 : 844.56 = 463.43 : x
  2. Step 2: Convert to fraction form
    612.47/844.56 = 463.43/x
  3. Step 3: Cross multiply
    612.47x = 844.56 × 463.43
  4. Step 4: Simplify right side
    612.47x = 391,390.22
  5. Step 5: Solve for x
    x = 391,390.22/612.47
  6. Step 6: Final answer
    x = 639.04

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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.