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Finding the Fourth Proportional to 434.16, 650.78 and 269.63

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Solution

The fourth proportional to 434.16, 650.78 and 269.63 is: 404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.16 : 650.78 = 269.63 : x
  2. Step 2: Convert to fraction form
    434.16/650.78 = 269.63/x
  3. Step 3: Cross multiply
    434.16x = 650.78 × 269.63
  4. Step 4: Simplify right side
    434.16x = 175,465.21
  5. Step 5: Solve for x
    x = 175,465.21/434.16
  6. Step 6: Final answer
    x = 404.15

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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.