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Finding the Fourth Proportional to 598.32, 897.93 and 232.91

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Solution

The fourth proportional to 598.32, 897.93 and 232.91 is: 349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.32 : 897.93 = 232.91 : x
  2. Step 2: Convert to fraction form
    598.32/897.93 = 232.91/x
  3. Step 3: Cross multiply
    598.32x = 897.93 × 232.91
  4. Step 4: Simplify right side
    598.32x = 209,132.39
  5. Step 5: Solve for x
    x = 209,132.39/598.32
  6. Step 6: Final answer
    x = 349.53

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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.