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Finding the Fourth Proportional to 597.18, 896.07 and 268.35

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Solution

The fourth proportional to 597.18, 896.07 and 268.35 is: 402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.18 : 896.07 = 268.35 : x
  2. Step 2: Convert to fraction form
    597.18/896.07 = 268.35/x
  3. Step 3: Cross multiply
    597.18x = 896.07 × 268.35
  4. Step 4: Simplify right side
    597.18x = 240,458.60
  5. Step 5: Solve for x
    x = 240,458.60/597.18
  6. Step 6: Final answer
    x = 402.65

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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.