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Finding the Fourth Proportional to 389.34, 581.79 and 296.28

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Solution

The fourth proportional to 389.34, 581.79 and 296.28 is: 442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.34 : 581.79 = 296.28 : x
  2. Step 2: Convert to fraction form
    389.34/581.79 = 296.28/x
  3. Step 3: Cross multiply
    389.34x = 581.79 × 296.28
  4. Step 4: Simplify right side
    389.34x = 172,372.74
  5. Step 5: Solve for x
    x = 172,372.74/389.34
  6. Step 6: Final answer
    x = 442.73

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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.