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Finding the Fourth Proportional to 598.08, 897.12 and 232.78

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Solution

The fourth proportional to 598.08, 897.12 and 232.78 is: 349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.08 : 897.12 = 232.78 : x
  2. Step 2: Convert to fraction form
    598.08/897.12 = 232.78/x
  3. Step 3: Cross multiply
    598.08x = 897.12 × 232.78
  4. Step 4: Simplify right side
    598.08x = 208,831.59
  5. Step 5: Solve for x
    x = 208,831.59/598.08
  6. Step 6: Final answer
    x = 349.17

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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.