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Finding the Fourth Proportional to 434.93, 600.43 and 295.79

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Solution

The fourth proportional to 434.93, 600.43 and 295.79 is: 408.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.93 : 600.43 = 295.79 : x
  2. Step 2: Convert to fraction form
    434.93/600.43 = 295.79/x
  3. Step 3: Cross multiply
    434.93x = 600.43 × 295.79
  4. Step 4: Simplify right side
    434.93x = 177,597.45
  5. Step 5: Solve for x
    x = 177,597.45/434.93
  6. Step 6: Final answer
    x = 408.34

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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.