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Finding the Fourth Proportional to 598.74, 897.21 and 274.02

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Solution

The fourth proportional to 598.74, 897.21 and 274.02 is: 410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.74 : 897.21 = 274.02 : x
  2. Step 2: Convert to fraction form
    598.74/897.21 = 274.02/x
  3. Step 3: Cross multiply
    598.74x = 897.21 × 274.02
  4. Step 4: Simplify right side
    598.74x = 245,853.48
  5. Step 5: Solve for x
    x = 245,853.48/598.74
  6. Step 6: Final answer
    x = 410.62

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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.