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Finding the Fourth Proportional to 584.05, 805.97 and 318.48

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Solution

The fourth proportional to 584.05, 805.97 and 318.48 is: 439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.05 : 805.97 = 318.48 : x
  2. Step 2: Convert to fraction form
    584.05/805.97 = 318.48/x
  3. Step 3: Cross multiply
    584.05x = 805.97 × 318.48
  4. Step 4: Simplify right side
    584.05x = 256,683.73
  5. Step 5: Solve for x
    x = 256,683.73/584.05
  6. Step 6: Final answer
    x = 439.49

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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.