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Finding the Fourth Proportional to 387.78, 581.41 and 284.91

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Solution

The fourth proportional to 387.78, 581.41 and 284.91 is: 427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.78 : 581.41 = 284.91 : x
  2. Step 2: Convert to fraction form
    387.78/581.41 = 284.91/x
  3. Step 3: Cross multiply
    387.78x = 581.41 × 284.91
  4. Step 4: Simplify right side
    387.78x = 165,649.52
  5. Step 5: Solve for x
    x = 165,649.52/387.78
  6. Step 6: Final answer
    x = 427.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.