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Finding the Fourth Proportional to 585.51, 806.78 and 398.67

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Solution

The fourth proportional to 585.51, 806.78 and 398.67 is: 549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.51 : 806.78 = 398.67 : x
  2. Step 2: Convert to fraction form
    585.51/806.78 = 398.67/x
  3. Step 3: Cross multiply
    585.51x = 806.78 × 398.67
  4. Step 4: Simplify right side
    585.51x = 321,639.01
  5. Step 5: Solve for x
    x = 321,639.01/585.51
  6. Step 6: Final answer
    x = 549.33

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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.