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Finding the Fourth Proportional to 479.97, 660.96 and 429.75

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Solution

The fourth proportional to 479.97, 660.96 and 429.75 is: 591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.97 : 660.96 = 429.75 : x
  2. Step 2: Convert to fraction form
    479.97/660.96 = 429.75/x
  3. Step 3: Cross multiply
    479.97x = 660.96 × 429.75
  4. Step 4: Simplify right side
    479.97x = 284,047.56
  5. Step 5: Solve for x
    x = 284,047.56/479.97
  6. Step 6: Final answer
    x = 591.80

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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.