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Finding the Fourth Proportional to 524.62, 785.76 and 280.54

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Solution

The fourth proportional to 524.62, 785.76 and 280.54 is: 420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.62 : 785.76 = 280.54 : x
  2. Step 2: Convert to fraction form
    524.62/785.76 = 280.54/x
  3. Step 3: Cross multiply
    524.62x = 785.76 × 280.54
  4. Step 4: Simplify right side
    524.62x = 220,437.11
  5. Step 5: Solve for x
    x = 220,437.11/524.62
  6. Step 6: Final answer
    x = 420.18

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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.