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Finding the Fourth Proportional to 434.32, 650.92 and 203.32

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Solution

The fourth proportional to 434.32, 650.92 and 203.32 is: 304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.32 : 650.92 = 203.32 : x
  2. Step 2: Convert to fraction form
    434.32/650.92 = 203.32/x
  3. Step 3: Cross multiply
    434.32x = 650.92 × 203.32
  4. Step 4: Simplify right side
    434.32x = 132,345.05
  5. Step 5: Solve for x
    x = 132,345.05/434.32
  6. Step 6: Final answer
    x = 304.72

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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.