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Finding the Fourth Proportional to 470.78, 648.62 and 427.10

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Solution

The fourth proportional to 470.78, 648.62 and 427.10 is: 588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.78 : 648.62 = 427.10 : x
  2. Step 2: Convert to fraction form
    470.78/648.62 = 427.10/x
  3. Step 3: Cross multiply
    470.78x = 648.62 × 427.10
  4. Step 4: Simplify right side
    470.78x = 277,025.60
  5. Step 5: Solve for x
    x = 277,025.60/470.78
  6. Step 6: Final answer
    x = 588.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.