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Finding the Fourth Proportional to 342.90, 472.79 and 287.01

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Solution

The fourth proportional to 342.90, 472.79 and 287.01 is: 395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.90 : 472.79 = 287.01 : x
  2. Step 2: Convert to fraction form
    342.90/472.79 = 287.01/x
  3. Step 3: Cross multiply
    342.90x = 472.79 × 287.01
  4. Step 4: Simplify right side
    342.90x = 135,691.66
  5. Step 5: Solve for x
    x = 135,691.66/342.90
  6. Step 6: Final answer
    x = 395.72

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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.