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Finding the Fourth Proportional to 435.30, 600.54 and 269.40

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Solution

The fourth proportional to 435.30, 600.54 and 269.40 is: 371.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.30 : 600.54 = 269.40 : x
  2. Step 2: Convert to fraction form
    435.30/600.54 = 269.40/x
  3. Step 3: Cross multiply
    435.30x = 600.54 × 269.40
  4. Step 4: Simplify right side
    435.30x = 161,785.48
  5. Step 5: Solve for x
    x = 161,785.48/435.30
  6. Step 6: Final answer
    x = 371.66

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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.