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Finding the Fourth Proportional to 279.66, 419.49 and 256.17

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Solution

The fourth proportional to 279.66, 419.49 and 256.17 is: 384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.66 : 419.49 = 256.17 : x
  2. Step 2: Convert to fraction form
    279.66/419.49 = 256.17/x
  3. Step 3: Cross multiply
    279.66x = 419.49 × 256.17
  4. Step 4: Simplify right side
    279.66x = 107,460.75
  5. Step 5: Solve for x
    x = 107,460.75/279.66
  6. Step 6: Final answer
    x = 384.26

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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.