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Finding the Fourth Proportional to 668.94, 1,003.38 and 258.06

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Solution

The fourth proportional to 668.94, 1,003.38 and 258.06 is: 387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.94 : 1,003.38 = 258.06 : x
  2. Step 2: Convert to fraction form
    668.94/1,003.38 = 258.06/x
  3. Step 3: Cross multiply
    668.94x = 1,003.38 × 258.06
  4. Step 4: Simplify right side
    668.94x = 258,932.24
  5. Step 5: Solve for x
    x = 258,932.24/668.94
  6. Step 6: Final answer
    x = 387.08

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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.