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Finding the Fourth Proportional to 597.20, 896.15 and 255.20

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Solution

The fourth proportional to 597.20, 896.15 and 255.20 is: 382.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.20 : 896.15 = 255.20 : x
  2. Step 2: Convert to fraction form
    597.20/896.15 = 255.20/x
  3. Step 3: Cross multiply
    597.20x = 896.15 × 255.20
  4. Step 4: Simplify right side
    597.20x = 228,691.72
  5. Step 5: Solve for x
    x = 228,691.72/597.20
  6. Step 6: Final answer
    x = 382.94

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1.5x scale

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.