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Finding the Fourth Proportional to 482.80, 670.12 and 470.92

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Solution

The fourth proportional to 482.80, 670.12 and 470.92 is: 653.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.80 : 670.12 = 470.92 : x
  2. Step 2: Convert to fraction form
    482.80/670.12 = 470.92/x
  3. Step 3: Cross multiply
    482.80x = 670.12 × 470.92
  4. Step 4: Simplify right side
    482.80x = 315,572.91
  5. Step 5: Solve for x
    x = 315,572.91/482.80
  6. Step 6: Final answer
    x = 653.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.