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Finding the Fourth Proportional to 841.32, 1,261.78 and 264.20

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Solution

The fourth proportional to 841.32, 1,261.78 and 264.20 is: 396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.32 : 1,261.78 = 264.20 : x
  2. Step 2: Convert to fraction form
    841.32/1,261.78 = 264.20/x
  3. Step 3: Cross multiply
    841.32x = 1,261.78 × 264.20
  4. Step 4: Simplify right side
    841.32x = 333,355.31
  5. Step 5: Solve for x
    x = 333,355.31/841.32
  6. Step 6: Final answer
    x = 396.23

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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.