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Finding the Fourth Proportional to 434.53, 599.75 and 303.49

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Solution

The fourth proportional to 434.53, 599.75 and 303.49 is: 418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.53 : 599.75 = 303.49 : x
  2. Step 2: Convert to fraction form
    434.53/599.75 = 303.49/x
  3. Step 3: Cross multiply
    434.53x = 599.75 × 303.49
  4. Step 4: Simplify right side
    434.53x = 182,016.61
  5. Step 5: Solve for x
    x = 182,016.61/434.53
  6. Step 6: Final answer
    x = 418.88

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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.