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Finding the Fourth Proportional to 600.84, 901.34 and 276.17

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Solution

The fourth proportional to 600.84, 901.34 and 276.17 is: 414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.84 : 901.34 = 276.17 : x
  2. Step 2: Convert to fraction form
    600.84/901.34 = 276.17/x
  3. Step 3: Cross multiply
    600.84x = 901.34 × 276.17
  4. Step 4: Simplify right side
    600.84x = 248,917.18
  5. Step 5: Solve for x
    x = 248,917.18/600.84
  6. Step 6: Final answer
    x = 414.28

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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.