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Finding the Fourth Proportional to 524.14, 786.40 and 280.54

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Solution

The fourth proportional to 524.14, 786.40 and 280.54 is: 420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.14 : 786.40 = 280.54 : x
  2. Step 2: Convert to fraction form
    524.14/786.40 = 280.54/x
  3. Step 3: Cross multiply
    524.14x = 786.40 × 280.54
  4. Step 4: Simplify right side
    524.14x = 220,616.66
  5. Step 5: Solve for x
    x = 220,616.66/524.14
  6. Step 6: Final answer
    x = 420.91

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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.