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Finding the Fourth Proportional to 585.41, 807.84 and 323.42

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Solution

The fourth proportional to 585.41, 807.84 and 323.42 is: 446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.41 : 807.84 = 323.42 : x
  2. Step 2: Convert to fraction form
    585.41/807.84 = 323.42/x
  3. Step 3: Cross multiply
    585.41x = 807.84 × 323.42
  4. Step 4: Simplify right side
    585.41x = 261,271.61
  5. Step 5: Solve for x
    x = 261,271.61/585.41
  6. Step 6: Final answer
    x = 446.31

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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.