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Finding the Fourth Proportional to 285.75, 430.94 and 282.67

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Solution

The fourth proportional to 285.75, 430.94 and 282.67 is: 426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.75 : 430.94 = 282.67 : x
  2. Step 2: Convert to fraction form
    285.75/430.94 = 282.67/x
  3. Step 3: Cross multiply
    285.75x = 430.94 × 282.67
  4. Step 4: Simplify right side
    285.75x = 121,813.44
  5. Step 5: Solve for x
    x = 121,813.44/285.75
  6. Step 6: Final answer
    x = 426.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.