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Finding the Fourth Proportional to 434.46, 651.81 and 203.11

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Solution

The fourth proportional to 434.46, 651.81 and 203.11 is: 304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.46 : 651.81 = 203.11 : x
  2. Step 2: Convert to fraction form
    434.46/651.81 = 203.11/x
  3. Step 3: Cross multiply
    434.46x = 651.81 × 203.11
  4. Step 4: Simplify right side
    434.46x = 132,388.26
  5. Step 5: Solve for x
    x = 132,388.26/434.46
  6. Step 6: Final answer
    x = 304.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.