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Finding the Fourth Proportional to 442.07, 610.06 and 265.04

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Solution

The fourth proportional to 442.07, 610.06 and 265.04 is: 365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.07 : 610.06 = 265.04 : x
  2. Step 2: Convert to fraction form
    442.07/610.06 = 265.04/x
  3. Step 3: Cross multiply
    442.07x = 610.06 × 265.04
  4. Step 4: Simplify right side
    442.07x = 161,690.30
  5. Step 5: Solve for x
    x = 161,690.30/442.07
  6. Step 6: Final answer
    x = 365.76

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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.