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Finding the Fourth Proportional to 585, 806.94 and 398.52

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Solution

The fourth proportional to 585, 806.94 and 398.52 is: 549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    585 : 806.94 = 398.52 : x
  2. Step 2: Convert to fraction form
    585/806.94 = 398.52/x
  3. Step 3: Cross multiply
    585x = 806.94 × 398.52
  4. Step 4: Simplify right side
    585x = 321,581.73
  5. Step 5: Solve for x
    x = 321,581.73/585
  6. Step 6: Final answer
    x = 549.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.