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Finding the Fourth Proportional to 389.79, 581.49 and 379.20

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Solution

The fourth proportional to 389.79, 581.49 and 379.20 is: 565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.79 : 581.49 = 379.20 : x
  2. Step 2: Convert to fraction form
    389.79/581.49 = 379.20/x
  3. Step 3: Cross multiply
    389.79x = 581.49 × 379.20
  4. Step 4: Simplify right side
    389.79x = 220,498.83
  5. Step 5: Solve for x
    x = 220,498.83/389.79
  6. Step 6: Final answer
    x = 565.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.