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Finding the Fourth Proportional to 596.71, 891.49 and 576.25

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Solution

The fourth proportional to 596.71, 891.49 and 576.25 is: 860.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.71 : 891.49 = 576.25 : x
  2. Step 2: Convert to fraction form
    596.71/891.49 = 576.25/x
  3. Step 3: Cross multiply
    596.71x = 891.49 × 576.25
  4. Step 4: Simplify right side
    596.71x = 513,721.11
  5. Step 5: Solve for x
    x = 513,721.11/596.71
  6. Step 6: Final answer
    x = 860.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.