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Finding the Fourth Proportional to 434.68, 599.89 and 248.23

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Solution

The fourth proportional to 434.68, 599.89 and 248.23 is: 342.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.68 : 599.89 = 248.23 : x
  2. Step 2: Convert to fraction form
    434.68/599.89 = 248.23/x
  3. Step 3: Cross multiply
    434.68x = 599.89 × 248.23
  4. Step 4: Simplify right side
    434.68x = 148,910.69
  5. Step 5: Solve for x
    x = 148,910.69/434.68
  6. Step 6: Final answer
    x = 342.58

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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.