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Finding the Fourth Proportional to 342.12, 470.70 and 298.56

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Solution

The fourth proportional to 342.12, 470.70 and 298.56 is: 410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.12 : 470.70 = 298.56 : x
  2. Step 2: Convert to fraction form
    342.12/470.70 = 298.56/x
  3. Step 3: Cross multiply
    342.12x = 470.70 × 298.56
  4. Step 4: Simplify right side
    342.12x = 140,532.19
  5. Step 5: Solve for x
    x = 140,532.19/342.12
  6. Step 6: Final answer
    x = 410.77

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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.