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Finding the Fourth Proportional to 434.34, 651.33 and 290.97

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Solution

The fourth proportional to 434.34, 651.33 and 290.97 is: 436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.34 : 651.33 = 290.97 : x
  2. Step 2: Convert to fraction form
    434.34/651.33 = 290.97/x
  3. Step 3: Cross multiply
    434.34x = 651.33 × 290.97
  4. Step 4: Simplify right side
    434.34x = 189,517.49
  5. Step 5: Solve for x
    x = 189,517.49/434.34
  6. Step 6: Final answer
    x = 436.33

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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.