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Finding the Fourth Proportional to 585.66, 808.16 and 323.67

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Solution

The fourth proportional to 585.66, 808.16 and 323.67 is: 446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.66 : 808.16 = 323.67 : x
  2. Step 2: Convert to fraction form
    585.66/808.16 = 323.67/x
  3. Step 3: Cross multiply
    585.66x = 808.16 × 323.67
  4. Step 4: Simplify right side
    585.66x = 261,580.38
  5. Step 5: Solve for x
    x = 261,580.38/585.66
  6. Step 6: Final answer
    x = 446.64

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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.