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Finding the Fourth Proportional to 696.71, 1,044.32 and 257.55

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Solution

The fourth proportional to 696.71, 1,044.32 and 257.55 is: 386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.71 : 1,044.32 = 257.55 : x
  2. Step 2: Convert to fraction form
    696.71/1,044.32 = 257.55/x
  3. Step 3: Cross multiply
    696.71x = 1,044.32 × 257.55
  4. Step 4: Simplify right side
    696.71x = 268,963.33
  5. Step 5: Solve for x
    x = 268,963.33/696.71
  6. Step 6: Final answer
    x = 386.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.