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Finding the Fourth Proportional to 668.48, 1,001.94 and 278.26

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Solution

The fourth proportional to 668.48, 1,001.94 and 278.26 is: 417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.48 : 1,001.94 = 278.26 : x
  2. Step 2: Convert to fraction form
    668.48/1,001.94 = 278.26/x
  3. Step 3: Cross multiply
    668.48x = 1,001.94 × 278.26
  4. Step 4: Simplify right side
    668.48x = 278,796.28
  5. Step 5: Solve for x
    x = 278,796.28/668.48
  6. Step 6: Final answer
    x = 417.06

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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.