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Finding the Fourth Proportional to 668.96, 1,003.44 and 284.16

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Solution

The fourth proportional to 668.96, 1,003.44 and 284.16 is: 426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.96 : 1,003.44 = 284.16 : x
  2. Step 2: Convert to fraction form
    668.96/1,003.44 = 284.16/x
  3. Step 3: Cross multiply
    668.96x = 1,003.44 × 284.16
  4. Step 4: Simplify right side
    668.96x = 285,137.51
  5. Step 5: Solve for x
    x = 285,137.51/668.96
  6. Step 6: Final answer
    x = 426.24

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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.