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Finding the Fourth Proportional to 285.06, 426.78 and 281.01

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Solution

The fourth proportional to 285.06, 426.78 and 281.01 is: 420.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.06 : 426.78 = 281.01 : x
  2. Step 2: Convert to fraction form
    285.06/426.78 = 281.01/x
  3. Step 3: Cross multiply
    285.06x = 426.78 × 281.01
  4. Step 4: Simplify right side
    285.06x = 119,929.45
  5. Step 5: Solve for x
    x = 119,929.45/285.06
  6. Step 6: Final answer
    x = 420.72

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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.