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Finding the Fourth Proportional to 298.32, 411.79 and 256.71

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Solution

The fourth proportional to 298.32, 411.79 and 256.71 is: 354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.32 : 411.79 = 256.71 : x
  2. Step 2: Convert to fraction form
    298.32/411.79 = 256.71/x
  3. Step 3: Cross multiply
    298.32x = 411.79 × 256.71
  4. Step 4: Simplify right side
    298.32x = 105,709.97
  5. Step 5: Solve for x
    x = 105,709.97/298.32
  6. Step 6: Final answer
    x = 354.35

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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.