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Finding the Fourth Proportional to 841.12, 1,261.74 and 256.17

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Solution

The fourth proportional to 841.12, 1,261.74 and 256.17 is: 384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.12 : 1,261.74 = 256.17 : x
  2. Step 2: Convert to fraction form
    841.12/1,261.74 = 256.17/x
  3. Step 3: Cross multiply
    841.12x = 1,261.74 × 256.17
  4. Step 4: Simplify right side
    841.12x = 323,215.73
  5. Step 5: Solve for x
    x = 323,215.73/841.12
  6. Step 6: Final answer
    x = 384.27

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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.