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Finding the Fourth Proportional to 610.20, 842.54 and 470.10

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Solution

The fourth proportional to 610.20, 842.54 and 470.10 is: 649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.20 : 842.54 = 470.10 : x
  2. Step 2: Convert to fraction form
    610.20/842.54 = 470.10/x
  3. Step 3: Cross multiply
    610.20x = 842.54 × 470.10
  4. Step 4: Simplify right side
    610.20x = 396,078.05
  5. Step 5: Solve for x
    x = 396,078.05/610.20
  6. Step 6: Final answer
    x = 649.10

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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.