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Finding the Fourth Proportional to 610.59, 842.97 and 470.45

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Solution

The fourth proportional to 610.59, 842.97 and 470.45 is: 649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.59 : 842.97 = 470.45 : x
  2. Step 2: Convert to fraction form
    610.59/842.97 = 470.45/x
  3. Step 3: Cross multiply
    610.59x = 842.97 × 470.45
  4. Step 4: Simplify right side
    610.59x = 396,571.02
  5. Step 5: Solve for x
    x = 396,571.02/610.59
  6. Step 6: Final answer
    x = 649.49

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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.