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Finding the Fourth Proportional to 285.57, 428.29 and 100.49

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Solution

The fourth proportional to 285.57, 428.29 and 100.49 is: 150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.57 : 428.29 = 100.49 : x
  2. Step 2: Convert to fraction form
    285.57/428.29 = 100.49/x
  3. Step 3: Cross multiply
    285.57x = 428.29 × 100.49
  4. Step 4: Simplify right side
    285.57x = 43,038.86
  5. Step 5: Solve for x
    x = 43,038.86/285.57
  6. Step 6: Final answer
    x = 150.71

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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.