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Finding the Fourth Proportional to 669.40, 1,003.54 and 284.40

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Solution

The fourth proportional to 669.40, 1,003.54 and 284.40 is: 426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.40 : 1,003.54 = 284.40 : x
  2. Step 2: Convert to fraction form
    669.40/1,003.54 = 284.40/x
  3. Step 3: Cross multiply
    669.40x = 1,003.54 × 284.40
  4. Step 4: Simplify right side
    669.40x = 285,406.78
  5. Step 5: Solve for x
    x = 285,406.78/669.40
  6. Step 6: Final answer
    x = 426.36

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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.