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Finding the Fourth Proportional to 297.60, 411.20 and 265.60

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Solution

The fourth proportional to 297.60, 411.20 and 265.60 is: 366.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.60 : 411.20 = 265.60 : x
  2. Step 2: Convert to fraction form
    297.60/411.20 = 265.60/x
  3. Step 3: Cross multiply
    297.60x = 411.20 × 265.60
  4. Step 4: Simplify right side
    297.60x = 109,214.72
  5. Step 5: Solve for x
    x = 109,214.72/297.60
  6. Step 6: Final answer
    x = 366.98

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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.