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Finding the Fourth Proportional to 314.95, 434.86 and 241.75

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Solution

The fourth proportional to 314.95, 434.86 and 241.75 is: 333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.95 : 434.86 = 241.75 : x
  2. Step 2: Convert to fraction form
    314.95/434.86 = 241.75/x
  3. Step 3: Cross multiply
    314.95x = 434.86 × 241.75
  4. Step 4: Simplify right side
    314.95x = 105,127.41
  5. Step 5: Solve for x
    x = 105,127.41/314.95
  6. Step 6: Final answer
    x = 333.79

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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.