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Finding the Fourth Proportional to 279.94, 384.04 and 272.35

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Solution

The fourth proportional to 279.94, 384.04 and 272.35 is: 373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.94 : 384.04 = 272.35 : x
  2. Step 2: Convert to fraction form
    279.94/384.04 = 272.35/x
  3. Step 3: Cross multiply
    279.94x = 384.04 × 272.35
  4. Step 4: Simplify right side
    279.94x = 104,593.29
  5. Step 5: Solve for x
    x = 104,593.29/279.94
  6. Step 6: Final answer
    x = 373.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.