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Finding the Fourth Proportional to 434.42, 599.41 and 247.94

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Solution

The fourth proportional to 434.42, 599.41 and 247.94 is: 342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.42 : 599.41 = 247.94 : x
  2. Step 2: Convert to fraction form
    434.42/599.41 = 247.94/x
  3. Step 3: Cross multiply
    434.42x = 599.41 × 247.94
  4. Step 4: Simplify right side
    434.42x = 148,617.72
  5. Step 5: Solve for x
    x = 148,617.72/434.42
  6. Step 6: Final answer
    x = 342.11

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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.