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Finding the Fourth Proportional to 598.40, 825.78 and 349.78

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Solution

The fourth proportional to 598.40, 825.78 and 349.78 is: 482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.40 : 825.78 = 349.78 : x
  2. Step 2: Convert to fraction form
    598.40/825.78 = 349.78/x
  3. Step 3: Cross multiply
    598.40x = 825.78 × 349.78
  4. Step 4: Simplify right side
    598.40x = 288,839.58
  5. Step 5: Solve for x
    x = 288,839.58/598.40
  6. Step 6: Final answer
    x = 482.69

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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.