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Finding the Fourth Proportional to 434.30, 599.11 and 294.44

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Solution

The fourth proportional to 434.30, 599.11 and 294.44 is: 406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.30 : 599.11 = 294.44 : x
  2. Step 2: Convert to fraction form
    434.30/599.11 = 294.44/x
  3. Step 3: Cross multiply
    434.30x = 599.11 × 294.44
  4. Step 4: Simplify right side
    434.30x = 176,398.22
  5. Step 5: Solve for x
    x = 176,398.22/434.30
  6. Step 6: Final answer
    x = 406.17

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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.