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Finding the Fourth Proportional to 597.25, 895.52 and 180.65

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Solution

The fourth proportional to 597.25, 895.52 and 180.65 is: 270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.25 : 895.52 = 180.65 : x
  2. Step 2: Convert to fraction form
    597.25/895.52 = 180.65/x
  3. Step 3: Cross multiply
    597.25x = 895.52 × 180.65
  4. Step 4: Simplify right side
    597.25x = 161,777.48
  5. Step 5: Solve for x
    x = 161,777.48/597.25
  6. Step 6: Final answer
    x = 270.87

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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.