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Finding the Fourth Proportional to 319.60, 440.92 and 232.08

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Solution

The fourth proportional to 319.60, 440.92 and 232.08 is: 320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.60 : 440.92 = 232.08 : x
  2. Step 2: Convert to fraction form
    319.60/440.92 = 232.08/x
  3. Step 3: Cross multiply
    319.60x = 440.92 × 232.08
  4. Step 4: Simplify right side
    319.60x = 102,328.71
  5. Step 5: Solve for x
    x = 102,328.71/319.60
  6. Step 6: Final answer
    x = 320.18

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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.