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Finding the Fourth Proportional to 598.08, 825.33 and 349.42

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Solution

The fourth proportional to 598.08, 825.33 and 349.42 is: 482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.08 : 825.33 = 349.42 : x
  2. Step 2: Convert to fraction form
    598.08/825.33 = 349.42/x
  3. Step 3: Cross multiply
    598.08x = 825.33 × 349.42
  4. Step 4: Simplify right side
    598.08x = 288,386.81
  5. Step 5: Solve for x
    x = 288,386.81/598.08
  6. Step 6: Final answer
    x = 482.19

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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.