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Finding the Fourth Proportional to 585.45, 807.98 and 323.46

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Solution

The fourth proportional to 585.45, 807.98 and 323.46 is: 446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.45 : 807.98 = 323.46 : x
  2. Step 2: Convert to fraction form
    585.45/807.98 = 323.46/x
  3. Step 3: Cross multiply
    585.45x = 807.98 × 323.46
  4. Step 4: Simplify right side
    585.45x = 261,349.21
  5. Step 5: Solve for x
    x = 261,349.21/585.45
  6. Step 6: Final answer
    x = 446.41

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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.