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Finding the Fourth Proportional to 598.13, 825.63 and 349.53

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Solution

The fourth proportional to 598.13, 825.63 and 349.53 is: 482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.13 : 825.63 = 349.53 : x
  2. Step 2: Convert to fraction form
    598.13/825.63 = 349.53/x
  3. Step 3: Cross multiply
    598.13x = 825.63 × 349.53
  4. Step 4: Simplify right side
    598.13x = 288,582.69
  5. Step 5: Solve for x
    x = 288,582.69/598.13
  6. Step 6: Final answer
    x = 482.47

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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.