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Finding the Fourth Proportional to 270.32, 406.29 and 264.65

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Solution

The fourth proportional to 270.32, 406.29 and 264.65 is: 397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.32 : 406.29 = 264.65 : x
  2. Step 2: Convert to fraction form
    270.32/406.29 = 264.65/x
  3. Step 3: Cross multiply
    270.32x = 406.29 × 264.65
  4. Step 4: Simplify right side
    270.32x = 107,524.65
  5. Step 5: Solve for x
    x = 107,524.65/270.32
  6. Step 6: Final answer
    x = 397.77

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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.