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Finding the Fourth Proportional to 585.74, 808.35 and 323.76

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Solution

The fourth proportional to 585.74, 808.35 and 323.76 is: 446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.74 : 808.35 = 323.76 : x
  2. Step 2: Convert to fraction form
    585.74/808.35 = 323.76/x
  3. Step 3: Cross multiply
    585.74x = 808.35 × 323.76
  4. Step 4: Simplify right side
    585.74x = 261,708.67
  5. Step 5: Solve for x
    x = 261,708.67/585.74
  6. Step 6: Final answer
    x = 446.80

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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.