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Finding the Fourth Proportional to 434.15, 599.25 and 309.61

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Solution

The fourth proportional to 434.15, 599.25 and 309.61 is: 427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.15 : 599.25 = 309.61 : x
  2. Step 2: Convert to fraction form
    434.15/599.25 = 309.61/x
  3. Step 3: Cross multiply
    434.15x = 599.25 × 309.61
  4. Step 4: Simplify right side
    434.15x = 185,535.70
  5. Step 5: Solve for x
    x = 185,535.70/434.15
  6. Step 6: Final answer
    x = 427.36

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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.