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Finding the Fourth Proportional to 398.57, 593.26 and 392.72

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Solution

The fourth proportional to 398.57, 593.26 and 392.72 is: 584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.57 : 593.26 = 392.72 : x
  2. Step 2: Convert to fraction form
    398.57/593.26 = 392.72/x
  3. Step 3: Cross multiply
    398.57x = 593.26 × 392.72
  4. Step 4: Simplify right side
    398.57x = 232,981.12
  5. Step 5: Solve for x
    x = 232,981.12/398.57
  6. Step 6: Final answer
    x = 584.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.