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Finding the Fourth Proportional to 571.92, 856.24 and 398.18

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Solution

The fourth proportional to 571.92, 856.24 and 398.18 is: 596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.92 : 856.24 = 398.18 : x
  2. Step 2: Convert to fraction form
    571.92/856.24 = 398.18/x
  3. Step 3: Cross multiply
    571.92x = 856.24 × 398.18
  4. Step 4: Simplify right side
    571.92x = 340,937.64
  5. Step 5: Solve for x
    x = 340,937.64/571.92
  6. Step 6: Final answer
    x = 596.13

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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.