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Finding the Fourth Proportional to 313.38, 432.54 and 298.71

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Solution

The fourth proportional to 313.38, 432.54 and 298.71 is: 412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.38 : 432.54 = 298.71 : x
  2. Step 2: Convert to fraction form
    313.38/432.54 = 298.71/x
  3. Step 3: Cross multiply
    313.38x = 432.54 × 298.71
  4. Step 4: Simplify right side
    313.38x = 129,204.02
  5. Step 5: Solve for x
    x = 129,204.02/313.38
  6. Step 6: Final answer
    x = 412.29

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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.