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Finding the Fourth Proportional to 285.86, 428.46 and 262.79

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Solution

The fourth proportional to 285.86, 428.46 and 262.79 is: 393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.86 : 428.46 = 262.79 : x
  2. Step 2: Convert to fraction form
    285.86/428.46 = 262.79/x
  3. Step 3: Cross multiply
    285.86x = 428.46 × 262.79
  4. Step 4: Simplify right side
    285.86x = 112,595.45
  5. Step 5: Solve for x
    x = 112,595.45/285.86
  6. Step 6: Final answer
    x = 393.89

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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.