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Finding the Fourth Proportional to 668.33, 1,002.69 and 278.26

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Solution

The fourth proportional to 668.33, 1,002.69 and 278.26 is: 417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.33 : 1,002.69 = 278.26 : x
  2. Step 2: Convert to fraction form
    668.33/1,002.69 = 278.26/x
  3. Step 3: Cross multiply
    668.33x = 1,002.69 × 278.26
  4. Step 4: Simplify right side
    668.33x = 279,002.11
  5. Step 5: Solve for x
    x = 279,002.11/668.33
  6. Step 6: Final answer
    x = 417.46

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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.