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Finding the Fourth Proportional to 488.04, 728.67 and 441.60

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Solution

The fourth proportional to 488.04, 728.67 and 441.60 is: 659.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.04 : 728.67 = 441.60 : x
  2. Step 2: Convert to fraction form
    488.04/728.67 = 441.60/x
  3. Step 3: Cross multiply
    488.04x = 728.67 × 441.60
  4. Step 4: Simplify right side
    488.04x = 321,780.67
  5. Step 5: Solve for x
    x = 321,780.67/488.04
  6. Step 6: Final answer
    x = 659.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.