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Finding the Fourth Proportional to 598.13, 825.41 and 349.46

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Solution

The fourth proportional to 598.13, 825.41 and 349.46 is: 482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.13 : 825.41 = 349.46 : x
  2. Step 2: Convert to fraction form
    598.13/825.41 = 349.46/x
  3. Step 3: Cross multiply
    598.13x = 825.41 × 349.46
  4. Step 4: Simplify right side
    598.13x = 288,444.53
  5. Step 5: Solve for x
    x = 288,444.53/598.13
  6. Step 6: Final answer
    x = 482.25

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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.