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Finding the Fourth Proportional to 444.96, 666.06 and 282.40

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Solution

The fourth proportional to 444.96, 666.06 and 282.40 is: 422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.96 : 666.06 = 282.40 : x
  2. Step 2: Convert to fraction form
    444.96/666.06 = 282.40/x
  3. Step 3: Cross multiply
    444.96x = 666.06 × 282.40
  4. Step 4: Simplify right side
    444.96x = 188,095.34
  5. Step 5: Solve for x
    x = 188,095.34/444.96
  6. Step 6: Final answer
    x = 422.72

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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.