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Finding the Fourth Proportional to 444.52, 666.56 and 269.02

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Solution

The fourth proportional to 444.52, 666.56 and 269.02 is: 403.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.52 : 666.56 = 269.02 : x
  2. Step 2: Convert to fraction form
    444.52/666.56 = 269.02/x
  3. Step 3: Cross multiply
    444.52x = 666.56 × 269.02
  4. Step 4: Simplify right side
    444.52x = 179,317.97
  5. Step 5: Solve for x
    x = 179,317.97/444.52
  6. Step 6: Final answer
    x = 403.40

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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.