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Finding the Fourth Proportional to 442.74, 610.59 and 287.22

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Solution

The fourth proportional to 442.74, 610.59 and 287.22 is: 396.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.74 : 610.59 = 287.22 : x
  2. Step 2: Convert to fraction form
    442.74/610.59 = 287.22/x
  3. Step 3: Cross multiply
    442.74x = 610.59 × 287.22
  4. Step 4: Simplify right side
    442.74x = 175,373.66
  5. Step 5: Solve for x
    x = 175,373.66/442.74
  6. Step 6: Final answer
    x = 396.11

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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.