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Finding the Fourth Proportional to 389.48, 580.97 and 383.40

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Solution

The fourth proportional to 389.48, 580.97 and 383.40 is: 571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.48 : 580.97 = 383.40 : x
  2. Step 2: Convert to fraction form
    389.48/580.97 = 383.40/x
  3. Step 3: Cross multiply
    389.48x = 580.97 × 383.40
  4. Step 4: Simplify right side
    389.48x = 222,744.86
  5. Step 5: Solve for x
    x = 222,744.86/389.48
  6. Step 6: Final answer
    x = 571.91

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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.