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Finding the Fourth Proportional to 669.12, 1,003.72 and 304.10

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Solution

The fourth proportional to 669.12, 1,003.72 and 304.10 is: 456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.12 : 1,003.72 = 304.10 : x
  2. Step 2: Convert to fraction form
    669.12/1,003.72 = 304.10/x
  3. Step 3: Cross multiply
    669.12x = 1,003.72 × 304.10
  4. Step 4: Simplify right side
    669.12x = 305,231.25
  5. Step 5: Solve for x
    x = 305,231.25/669.12
  6. Step 6: Final answer
    x = 456.17

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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.