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Finding the Fourth Proportional to 579.61, 800.23 and 358.88

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Solution

The fourth proportional to 579.61, 800.23 and 358.88 is: 495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.61 : 800.23 = 358.88 : x
  2. Step 2: Convert to fraction form
    579.61/800.23 = 358.88/x
  3. Step 3: Cross multiply
    579.61x = 800.23 × 358.88
  4. Step 4: Simplify right side
    579.61x = 287,186.82
  5. Step 5: Solve for x
    x = 287,186.82/579.61
  6. Step 6: Final answer
    x = 495.49

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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.