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Finding the Fourth Proportional to 597.90, 825.12 and 349.40

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Solution

The fourth proportional to 597.90, 825.12 and 349.40 is: 482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.90 : 825.12 = 349.40 : x
  2. Step 2: Convert to fraction form
    597.90/825.12 = 349.40/x
  3. Step 3: Cross multiply
    597.90x = 825.12 × 349.40
  4. Step 4: Simplify right side
    597.90x = 288,296.93
  5. Step 5: Solve for x
    x = 288,296.93/597.90
  6. Step 6: Final answer
    x = 482.18

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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.