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Finding the Fourth Proportional to 598.69, 825.81 and 385.91

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Solution

The fourth proportional to 598.69, 825.81 and 385.91 is: 532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.69 : 825.81 = 385.91 : x
  2. Step 2: Convert to fraction form
    598.69/825.81 = 385.91/x
  3. Step 3: Cross multiply
    598.69x = 825.81 × 385.91
  4. Step 4: Simplify right side
    598.69x = 318,685.86
  5. Step 5: Solve for x
    x = 318,685.86/598.69
  6. Step 6: Final answer
    x = 532.30

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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.