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Finding the Fourth Proportional to 585.65, 808.21 and 323.66

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Solution

The fourth proportional to 585.65, 808.21 and 323.66 is: 446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.65 : 808.21 = 323.66 : x
  2. Step 2: Convert to fraction form
    585.65/808.21 = 323.66/x
  3. Step 3: Cross multiply
    585.65x = 808.21 × 323.66
  4. Step 4: Simplify right side
    585.65x = 261,585.25
  5. Step 5: Solve for x
    x = 261,585.25/585.65
  6. Step 6: Final answer
    x = 446.66

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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.