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Finding the Fourth Proportional to 285.72, 429.10 and 274.12

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Solution

The fourth proportional to 285.72, 429.10 and 274.12 is: 411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.72 : 429.10 = 274.12 : x
  2. Step 2: Convert to fraction form
    285.72/429.10 = 274.12/x
  3. Step 3: Cross multiply
    285.72x = 429.10 × 274.12
  4. Step 4: Simplify right side
    285.72x = 117,624.89
  5. Step 5: Solve for x
    x = 117,624.89/285.72
  6. Step 6: Final answer
    x = 411.68

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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.