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Finding the Fourth Proportional to 461.44, 688.04 and 442.24

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Solution

The fourth proportional to 461.44, 688.04 and 442.24 is: 659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.44 : 688.04 = 442.24 : x
  2. Step 2: Convert to fraction form
    461.44/688.04 = 442.24/x
  3. Step 3: Cross multiply
    461.44x = 688.04 × 442.24
  4. Step 4: Simplify right side
    461.44x = 304,278.81
  5. Step 5: Solve for x
    x = 304,278.81/461.44
  6. Step 6: Final answer
    x = 659.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.