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Finding the Fourth Proportional to 598.32, 897.53 and 165.47

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Solution

The fourth proportional to 598.32, 897.53 and 165.47 is: 248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.32 : 897.53 = 165.47 : x
  2. Step 2: Convert to fraction form
    598.32/897.53 = 165.47/x
  3. Step 3: Cross multiply
    598.32x = 897.53 × 165.47
  4. Step 4: Simplify right side
    598.32x = 148,508.97
  5. Step 5: Solve for x
    x = 148,508.97/598.32
  6. Step 6: Final answer
    x = 248.21

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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.