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Finding the Fourth Proportional to 434.90, 600.29 and 269.35

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Solution

The fourth proportional to 434.90, 600.29 and 269.35 is: 371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.90 : 600.29 = 269.35 : x
  2. Step 2: Convert to fraction form
    434.90/600.29 = 269.35/x
  3. Step 3: Cross multiply
    434.90x = 600.29 × 269.35
  4. Step 4: Simplify right side
    434.90x = 161,688.11
  5. Step 5: Solve for x
    x = 161,688.11/434.90
  6. Step 6: Final answer
    x = 371.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.