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Finding the Fourth Proportional to 598.02, 825.12 and 349.36

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Solution

The fourth proportional to 598.02, 825.12 and 349.36 is: 482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.02 : 825.12 = 349.36 : x
  2. Step 2: Convert to fraction form
    598.02/825.12 = 349.36/x
  3. Step 3: Cross multiply
    598.02x = 825.12 × 349.36
  4. Step 4: Simplify right side
    598.02x = 288,263.92
  5. Step 5: Solve for x
    x = 288,263.92/598.02
  6. Step 6: Final answer
    x = 482.03

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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.