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Finding the Fourth Proportional to 599.52, 898.51 and 274.17

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Solution

The fourth proportional to 599.52, 898.51 and 274.17 is: 410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.52 : 898.51 = 274.17 : x
  2. Step 2: Convert to fraction form
    599.52/898.51 = 274.17/x
  3. Step 3: Cross multiply
    599.52x = 898.51 × 274.17
  4. Step 4: Simplify right side
    599.52x = 246,344.49
  5. Step 5: Solve for x
    x = 246,344.49/599.52
  6. Step 6: Final answer
    x = 410.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.