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Finding the Fourth Proportional to 434.24, 599.02 and 277.05

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Solution

The fourth proportional to 434.24, 599.02 and 277.05 is: 382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.24 : 599.02 = 277.05 : x
  2. Step 2: Convert to fraction form
    434.24/599.02 = 277.05/x
  3. Step 3: Cross multiply
    434.24x = 599.02 × 277.05
  4. Step 4: Simplify right side
    434.24x = 165,958.49
  5. Step 5: Solve for x
    x = 165,958.49/434.24
  6. Step 6: Final answer
    x = 382.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.