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Finding the Fourth Proportional to 314.76, 434.78 and 241.97

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Solution

The fourth proportional to 314.76, 434.78 and 241.97 is: 334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 434.78 = 241.97 : x
  2. Step 2: Convert to fraction form
    314.76/434.78 = 241.97/x
  3. Step 3: Cross multiply
    314.76x = 434.78 × 241.97
  4. Step 4: Simplify right side
    314.76x = 105,205.86
  5. Step 5: Solve for x
    x = 105,205.86/314.76
  6. Step 6: Final answer
    x = 334.24

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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.