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Finding the Fourth Proportional to 679.72, 937.67 and 470.10

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Solution

The fourth proportional to 679.72, 937.67 and 470.10 is: 648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.72 : 937.67 = 470.10 : x
  2. Step 2: Convert to fraction form
    679.72/937.67 = 470.10/x
  3. Step 3: Cross multiply
    679.72x = 937.67 × 470.10
  4. Step 4: Simplify right side
    679.72x = 440,798.67
  5. Step 5: Solve for x
    x = 440,798.67/679.72
  6. Step 6: Final answer
    x = 648.50

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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.