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Finding the Fourth Proportional to 598.49, 825.51 and 349.57

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Solution

The fourth proportional to 598.49, 825.51 and 349.57 is: 482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.49 : 825.51 = 349.57 : x
  2. Step 2: Convert to fraction form
    598.49/825.51 = 349.57/x
  3. Step 3: Cross multiply
    598.49x = 825.51 × 349.57
  4. Step 4: Simplify right side
    598.49x = 288,573.53
  5. Step 5: Solve for x
    x = 288,573.53/598.49
  6. Step 6: Final answer
    x = 482.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.