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Finding the Fourth Proportional to 297.60, 410.76 and 232.08

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Solution

The fourth proportional to 297.60, 410.76 and 232.08 is: 320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.60 : 410.76 = 232.08 : x
  2. Step 2: Convert to fraction form
    297.60/410.76 = 232.08/x
  3. Step 3: Cross multiply
    297.60x = 410.76 × 232.08
  4. Step 4: Simplify right side
    297.60x = 95,329.18
  5. Step 5: Solve for x
    x = 95,329.18/297.60
  6. Step 6: Final answer
    x = 320.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.