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Finding the Fourth Proportional to 597.24, 895.21 and 250.76

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Solution

The fourth proportional to 597.24, 895.21 and 250.76 is: 375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.24 : 895.21 = 250.76 : x
  2. Step 2: Convert to fraction form
    597.24/895.21 = 250.76/x
  3. Step 3: Cross multiply
    597.24x = 895.21 × 250.76
  4. Step 4: Simplify right side
    597.24x = 224,481.11
  5. Step 5: Solve for x
    x = 224,481.11/597.24
  6. Step 6: Final answer
    x = 375.87

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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.