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Finding the Fourth Proportional to 597.20, 895.13 and 206.83

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Solution

The fourth proportional to 597.20, 895.13 and 206.83 is: 310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.20 : 895.13 = 206.83 : x
  2. Step 2: Convert to fraction form
    597.20/895.13 = 206.83/x
  3. Step 3: Cross multiply
    597.20x = 895.13 × 206.83
  4. Step 4: Simplify right side
    597.20x = 185,140.60
  5. Step 5: Solve for x
    x = 185,140.60/597.20
  6. Step 6: Final answer
    x = 310.02

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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.