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Finding the Fourth Proportional to 442.82, 611.07 and 256.40

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Solution

The fourth proportional to 442.82, 611.07 and 256.40 is: 353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.82 : 611.07 = 256.40 : x
  2. Step 2: Convert to fraction form
    442.82/611.07 = 256.40/x
  3. Step 3: Cross multiply
    442.82x = 611.07 × 256.40
  4. Step 4: Simplify right side
    442.82x = 156,678.35
  5. Step 5: Solve for x
    x = 156,678.35/442.82
  6. Step 6: Final answer
    x = 353.82

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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.