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Finding the Fourth Proportional to 610.48, 842.56 and 361.88

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Solution

The fourth proportional to 610.48, 842.56 and 361.88 is: 499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.48 : 842.56 = 361.88 : x
  2. Step 2: Convert to fraction form
    610.48/842.56 = 361.88/x
  3. Step 3: Cross multiply
    610.48x = 842.56 × 361.88
  4. Step 4: Simplify right side
    610.48x = 304,905.61
  5. Step 5: Solve for x
    x = 304,905.61/610.48
  6. Step 6: Final answer
    x = 499.45

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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.