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Finding the Fourth Proportional to 314.46, 433.46 and 248.84

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Solution

The fourth proportional to 314.46, 433.46 and 248.84 is: 343.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.46 : 433.46 = 248.84 : x
  2. Step 2: Convert to fraction form
    314.46/433.46 = 248.84/x
  3. Step 3: Cross multiply
    314.46x = 433.46 × 248.84
  4. Step 4: Simplify right side
    314.46x = 107,862.19
  5. Step 5: Solve for x
    x = 107,862.19/314.46
  6. Step 6: Final answer
    x = 343.01

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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.