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Finding the Fourth Proportional to 669.88, 1,004.75 and 304.57

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Solution

The fourth proportional to 669.88, 1,004.75 and 304.57 is: 456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.88 : 1,004.75 = 304.57 : x
  2. Step 2: Convert to fraction form
    669.88/1,004.75 = 304.57/x
  3. Step 3: Cross multiply
    669.88x = 1,004.75 × 304.57
  4. Step 4: Simplify right side
    669.88x = 306,010.16
  5. Step 5: Solve for x
    x = 306,010.16/669.88
  6. Step 6: Final answer
    x = 456.82

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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.