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Finding the Fourth Proportional to 442.32, 610.16 and 262.76

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Solution

The fourth proportional to 442.32, 610.16 and 262.76 is: 362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.32 : 610.16 = 262.76 : x
  2. Step 2: Convert to fraction form
    442.32/610.16 = 262.76/x
  3. Step 3: Cross multiply
    442.32x = 610.16 × 262.76
  4. Step 4: Simplify right side
    442.32x = 160,323.25
  5. Step 5: Solve for x
    x = 160,323.25/442.32
  6. Step 6: Final answer
    x = 362.46

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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.