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Finding the Fourth Proportional to 554.75, 832.13 and 229.89

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Solution

The fourth proportional to 554.75, 832.13 and 229.89 is: 344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.75 : 832.13 = 229.89 : x
  2. Step 2: Convert to fraction form
    554.75/832.13 = 229.89/x
  3. Step 3: Cross multiply
    554.75x = 832.13 × 229.89
  4. Step 4: Simplify right side
    554.75x = 191,301.20
  5. Step 5: Solve for x
    x = 191,301.20/554.75
  6. Step 6: Final answer
    x = 344.84

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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.