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Finding the Fourth Proportional to 488.56, 732.26 and 433.88

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Solution

The fourth proportional to 488.56, 732.26 and 433.88 is: 650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.56 : 732.26 = 433.88 : x
  2. Step 2: Convert to fraction form
    488.56/732.26 = 433.88/x
  3. Step 3: Cross multiply
    488.56x = 732.26 × 433.88
  4. Step 4: Simplify right side
    488.56x = 317,712.97
  5. Step 5: Solve for x
    x = 317,712.97/488.56
  6. Step 6: Final answer
    x = 650.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.