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Finding the Fourth Proportional to 598.84, 898.23 and 208.86

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Solution

The fourth proportional to 598.84, 898.23 and 208.86 is: 313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.84 : 898.23 = 208.86 : x
  2. Step 2: Convert to fraction form
    598.84/898.23 = 208.86/x
  3. Step 3: Cross multiply
    598.84x = 898.23 × 208.86
  4. Step 4: Simplify right side
    598.84x = 187,603.27
  5. Step 5: Solve for x
    x = 187,603.27/598.84
  6. Step 6: Final answer
    x = 313.28

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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.