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Finding the Fourth Proportional to 434.57, 651.90 and 203.42

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Solution

The fourth proportional to 434.57, 651.90 and 203.42 is: 305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.57 : 651.90 = 203.42 : x
  2. Step 2: Convert to fraction form
    434.57/651.90 = 203.42/x
  3. Step 3: Cross multiply
    434.57x = 651.90 × 203.42
  4. Step 4: Simplify right side
    434.57x = 132,609.50
  5. Step 5: Solve for x
    x = 132,609.50/434.57
  6. Step 6: Final answer
    x = 305.15

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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.