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Finding the Fourth Proportional to 390.78, 585.84 and 217.44

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Solution

The fourth proportional to 390.78, 585.84 and 217.44 is: 325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.78 : 585.84 = 217.44 : x
  2. Step 2: Convert to fraction form
    390.78/585.84 = 217.44/x
  3. Step 3: Cross multiply
    390.78x = 585.84 × 217.44
  4. Step 4: Simplify right side
    390.78x = 127,385.05
  5. Step 5: Solve for x
    x = 127,385.05/390.78
  6. Step 6: Final answer
    x = 325.98

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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.