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Finding the Fourth Proportional to 585.25, 807.65 and 323.29

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Solution

The fourth proportional to 585.25, 807.65 and 323.29 is: 446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.25 : 807.65 = 323.29 : x
  2. Step 2: Convert to fraction form
    585.25/807.65 = 323.29/x
  3. Step 3: Cross multiply
    585.25x = 807.65 × 323.29
  4. Step 4: Simplify right side
    585.25x = 261,105.17
  5. Step 5: Solve for x
    x = 261,105.17/585.25
  6. Step 6: Final answer
    x = 446.14

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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.