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Finding the Fourth Proportional to 579.92, 800.33 and 380.88

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Solution

The fourth proportional to 579.92, 800.33 and 380.88 is: 525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.92 : 800.33 = 380.88 : x
  2. Step 2: Convert to fraction form
    579.92/800.33 = 380.88/x
  3. Step 3: Cross multiply
    579.92x = 800.33 × 380.88
  4. Step 4: Simplify right side
    579.92x = 304,827.79
  5. Step 5: Solve for x
    x = 304,827.79/579.92
  6. Step 6: Final answer
    x = 525.64

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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.