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Finding the Fourth Proportional to 342.40, 472.64 and 298.24

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Solution

The fourth proportional to 342.40, 472.64 and 298.24 is: 411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.40 : 472.64 = 298.24 : x
  2. Step 2: Convert to fraction form
    342.40/472.64 = 298.24/x
  3. Step 3: Cross multiply
    342.40x = 472.64 × 298.24
  4. Step 4: Simplify right side
    342.40x = 140,960.15
  5. Step 5: Solve for x
    x = 140,960.15/342.40
  6. Step 6: Final answer
    x = 411.68

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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.