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Finding the Fourth Proportional to 597.86, 896.61 and 392.42

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Solution

The fourth proportional to 597.86, 896.61 and 392.42 is: 588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.86 : 896.61 = 392.42 : x
  2. Step 2: Convert to fraction form
    597.86/896.61 = 392.42/x
  3. Step 3: Cross multiply
    597.86x = 896.61 × 392.42
  4. Step 4: Simplify right side
    597.86x = 351,847.70
  5. Step 5: Solve for x
    x = 351,847.70/597.86
  6. Step 6: Final answer
    x = 588.51

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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.