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Finding the Fourth Proportional to 442.17, 610.07 and 265.14

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Solution

The fourth proportional to 442.17, 610.07 and 265.14 is: 365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.17 : 610.07 = 265.14 : x
  2. Step 2: Convert to fraction form
    442.17/610.07 = 265.14/x
  3. Step 3: Cross multiply
    442.17x = 610.07 × 265.14
  4. Step 4: Simplify right side
    442.17x = 161,752.63
  5. Step 5: Solve for x
    x = 161,752.63/442.17
  6. Step 6: Final answer
    x = 365.82

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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.