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Finding the Fourth Proportional to 297.60, 411.33 and 262.32

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Solution

The fourth proportional to 297.60, 411.33 and 262.32 is: 362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.60 : 411.33 = 262.32 : x
  2. Step 2: Convert to fraction form
    297.60/411.33 = 262.32/x
  3. Step 3: Cross multiply
    297.60x = 411.33 × 262.32
  4. Step 4: Simplify right side
    297.60x = 107,900.09
  5. Step 5: Solve for x
    x = 107,900.09/297.60
  6. Step 6: Final answer
    x = 362.57

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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.