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Finding the Fourth Proportional to 442.64, 610.85 and 256.11

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Solution

The fourth proportional to 442.64, 610.85 and 256.11 is: 353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.64 : 610.85 = 256.11 : x
  2. Step 2: Convert to fraction form
    442.64/610.85 = 256.11/x
  3. Step 3: Cross multiply
    442.64x = 610.85 × 256.11
  4. Step 4: Simplify right side
    442.64x = 156,444.79
  5. Step 5: Solve for x
    x = 156,444.79/442.64
  6. Step 6: Final answer
    x = 353.44

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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.