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Finding the Fourth Proportional to 434.35, 599.20 and 277.18

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Solution

The fourth proportional to 434.35, 599.20 and 277.18 is: 382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.35 : 599.20 = 277.18 : x
  2. Step 2: Convert to fraction form
    434.35/599.20 = 277.18/x
  3. Step 3: Cross multiply
    434.35x = 599.20 × 277.18
  4. Step 4: Simplify right side
    434.35x = 166,086.26
  5. Step 5: Solve for x
    x = 166,086.26/434.35
  6. Step 6: Final answer
    x = 382.38

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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.