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Finding the Fourth Proportional to 598.57, 897.86 and 165.73

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Solution

The fourth proportional to 598.57, 897.86 and 165.73 is: 248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.57 : 897.86 = 165.73 : x
  2. Step 2: Convert to fraction form
    598.57/897.86 = 165.73/x
  3. Step 3: Cross multiply
    598.57x = 897.86 × 165.73
  4. Step 4: Simplify right side
    598.57x = 148,802.34
  5. Step 5: Solve for x
    x = 148,802.34/598.57
  6. Step 6: Final answer
    x = 248.60

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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.