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Finding the Fourth Proportional to 585.21, 807.58 and 323.22

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Solution

The fourth proportional to 585.21, 807.58 and 323.22 is: 446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.21 : 807.58 = 323.22 : x
  2. Step 2: Convert to fraction form
    585.21/807.58 = 323.22/x
  3. Step 3: Cross multiply
    585.21x = 807.58 × 323.22
  4. Step 4: Simplify right side
    585.21x = 261,026.01
  5. Step 5: Solve for x
    x = 261,026.01/585.21
  6. Step 6: Final answer
    x = 446.04

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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.