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Finding the Fourth Proportional to 585.67, 808.20 and 323.68

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Solution

The fourth proportional to 585.67, 808.20 and 323.68 is: 446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.67 : 808.20 = 323.68 : x
  2. Step 2: Convert to fraction form
    585.67/808.20 = 323.68/x
  3. Step 3: Cross multiply
    585.67x = 808.20 × 323.68
  4. Step 4: Simplify right side
    585.67x = 261,598.18
  5. Step 5: Solve for x
    x = 261,598.18/585.67
  6. Step 6: Final answer
    x = 446.67

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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.