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Finding the Fourth Proportional to 598.25, 897.34 and 367.17

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Solution

The fourth proportional to 598.25, 897.34 and 367.17 is: 550.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.25 : 897.34 = 367.17 : x
  2. Step 2: Convert to fraction form
    598.25/897.34 = 367.17/x
  3. Step 3: Cross multiply
    598.25x = 897.34 × 367.17
  4. Step 4: Simplify right side
    598.25x = 329,478.77
  5. Step 5: Solve for x
    x = 329,478.77/598.25
  6. Step 6: Final answer
    x = 550.74

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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.