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Finding the Fourth Proportional to 360.89, 497.78 and 229.84

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Solution

The fourth proportional to 360.89, 497.78 and 229.84 is: 317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.89 : 497.78 = 229.84 : x
  2. Step 2: Convert to fraction form
    360.89/497.78 = 229.84/x
  3. Step 3: Cross multiply
    360.89x = 497.78 × 229.84
  4. Step 4: Simplify right side
    360.89x = 114,408.22
  5. Step 5: Solve for x
    x = 114,408.22/360.89
  6. Step 6: Final answer
    x = 317.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.