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Finding the Fourth Proportional to 285.88, 429.06 and 229.24

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Solution

The fourth proportional to 285.88, 429.06 and 229.24 is: 344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.88 : 429.06 = 229.24 : x
  2. Step 2: Convert to fraction form
    285.88/429.06 = 229.24/x
  3. Step 3: Cross multiply
    285.88x = 429.06 × 229.24
  4. Step 4: Simplify right side
    285.88x = 98,357.71
  5. Step 5: Solve for x
    x = 98,357.71/285.88
  6. Step 6: Final answer
    x = 344.05

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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.