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Finding the Fourth Proportional to 585.27, 807.72 and 323.34

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Solution

The fourth proportional to 585.27, 807.72 and 323.34 is: 446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.27 : 807.72 = 323.34 : x
  2. Step 2: Convert to fraction form
    585.27/807.72 = 323.34/x
  3. Step 3: Cross multiply
    585.27x = 807.72 × 323.34
  4. Step 4: Simplify right side
    585.27x = 261,168.18
  5. Step 5: Solve for x
    x = 261,168.18/585.27
  6. Step 6: Final answer
    x = 446.24

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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.