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Finding the Fourth Proportional to 488.37, 732.62 and 200.01

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Solution

The fourth proportional to 488.37, 732.62 and 200.01 is: 300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.37 : 732.62 = 200.01 : x
  2. Step 2: Convert to fraction form
    488.37/732.62 = 200.01/x
  3. Step 3: Cross multiply
    488.37x = 732.62 × 200.01
  4. Step 4: Simplify right side
    488.37x = 146,530.33
  5. Step 5: Solve for x
    x = 146,530.33/488.37
  6. Step 6: Final answer
    x = 300.04

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