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Finding the Fourth Proportional to 314.38, 433.64 and 248.86

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Solution

The fourth proportional to 314.38, 433.64 and 248.86 is: 343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.38 : 433.64 = 248.86 : x
  2. Step 2: Convert to fraction form
    314.38/433.64 = 248.86/x
  3. Step 3: Cross multiply
    314.38x = 433.64 × 248.86
  4. Step 4: Simplify right side
    314.38x = 107,915.65
  5. Step 5: Solve for x
    x = 107,915.65/314.38
  6. Step 6: Final answer
    x = 343.26

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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.