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Finding the Fourth Proportional to 598.39, 897.91 and 228.45

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Solution

The fourth proportional to 598.39, 897.91 and 228.45 is: 342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.39 : 897.91 = 228.45 : x
  2. Step 2: Convert to fraction form
    598.39/897.91 = 228.45/x
  3. Step 3: Cross multiply
    598.39x = 897.91 × 228.45
  4. Step 4: Simplify right side
    598.39x = 205,123.40
  5. Step 5: Solve for x
    x = 205,123.40/598.39
  6. Step 6: Final answer
    x = 342.79

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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.