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Finding the Fourth Proportional to 668.24, 1,002.48 and 283.76

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Solution

The fourth proportional to 668.24, 1,002.48 and 283.76 is: 425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.24 : 1,002.48 = 283.76 : x
  2. Step 2: Convert to fraction form
    668.24/1,002.48 = 283.76/x
  3. Step 3: Cross multiply
    668.24x = 1,002.48 × 283.76
  4. Step 4: Simplify right side
    668.24x = 284,463.72
  5. Step 5: Solve for x
    x = 284,463.72/668.24
  6. Step 6: Final answer
    x = 425.69

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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.