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Finding the Fourth Proportional to 442.60, 610.77 and 256.06

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Solution

The fourth proportional to 442.60, 610.77 and 256.06 is: 353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.60 : 610.77 = 256.06 : x
  2. Step 2: Convert to fraction form
    442.60/610.77 = 256.06/x
  3. Step 3: Cross multiply
    442.60x = 610.77 × 256.06
  4. Step 4: Simplify right side
    442.60x = 156,395.49
  5. Step 5: Solve for x
    x = 156,395.49/442.60
  6. Step 6: Final answer
    x = 353.36

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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.