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Finding the Fourth Proportional to 442.53, 610.26 and 265.46

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Solution

The fourth proportional to 442.53, 610.26 and 265.46 is: 366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.53 : 610.26 = 265.46 : x
  2. Step 2: Convert to fraction form
    442.53/610.26 = 265.46/x
  3. Step 3: Cross multiply
    442.53x = 610.26 × 265.46
  4. Step 4: Simplify right side
    442.53x = 161,999.62
  5. Step 5: Solve for x
    x = 161,999.62/442.53
  6. Step 6: Final answer
    x = 366.08

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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.