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Finding the Fourth Proportional to 342.72, 472.50 and 277.92

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Solution

The fourth proportional to 342.72, 472.50 and 277.92 is: 383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.72 : 472.50 = 277.92 : x
  2. Step 2: Convert to fraction form
    342.72/472.50 = 277.92/x
  3. Step 3: Cross multiply
    342.72x = 472.50 × 277.92
  4. Step 4: Simplify right side
    342.72x = 131,317.20
  5. Step 5: Solve for x
    x = 131,317.20/342.72
  6. Step 6: Final answer
    x = 383.16

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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.