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Finding the Fourth Proportional to 444.32, 665.76 and 261.88

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Solution

The fourth proportional to 444.32, 665.76 and 261.88 is: 392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.32 : 665.76 = 261.88 : x
  2. Step 2: Convert to fraction form
    444.32/665.76 = 261.88/x
  3. Step 3: Cross multiply
    444.32x = 665.76 × 261.88
  4. Step 4: Simplify right side
    444.32x = 174,349.23
  5. Step 5: Solve for x
    x = 174,349.23/444.32
  6. Step 6: Final answer
    x = 392.40

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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.