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Finding the Fourth Proportional to 342.60, 472.58 and 268.80

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Solution

The fourth proportional to 342.60, 472.58 and 268.80 is: 370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.60 : 472.58 = 268.80 : x
  2. Step 2: Convert to fraction form
    342.60/472.58 = 268.80/x
  3. Step 3: Cross multiply
    342.60x = 472.58 × 268.80
  4. Step 4: Simplify right side
    342.60x = 127,029.50
  5. Step 5: Solve for x
    x = 127,029.50/342.60
  6. Step 6: Final answer
    x = 370.78

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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.