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Finding the Fourth Proportional to 579.66, 800.34 and 358.68

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Solution

The fourth proportional to 579.66, 800.34 and 358.68 is: 495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.66 : 800.34 = 358.68 : x
  2. Step 2: Convert to fraction form
    579.66/800.34 = 358.68/x
  3. Step 3: Cross multiply
    579.66x = 800.34 × 358.68
  4. Step 4: Simplify right side
    579.66x = 287,065.95
  5. Step 5: Solve for x
    x = 287,065.95/579.66
  6. Step 6: Final answer
    x = 495.23

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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.