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Finding the Fourth Proportional to 598.64, 898.23 and 274.10

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Solution

The fourth proportional to 598.64, 898.23 and 274.10 is: 411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.64 : 898.23 = 274.10 : x
  2. Step 2: Convert to fraction form
    598.64/898.23 = 274.10/x
  3. Step 3: Cross multiply
    598.64x = 898.23 × 274.10
  4. Step 4: Simplify right side
    598.64x = 246,204.84
  5. Step 5: Solve for x
    x = 246,204.84/598.64
  6. Step 6: Final answer
    x = 411.27

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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.