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Finding the Fourth Proportional to 524.07, 785.70 and 280.80

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Solution

The fourth proportional to 524.07, 785.70 and 280.80 is: 420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.07 : 785.70 = 280.80 : x
  2. Step 2: Convert to fraction form
    524.07/785.70 = 280.80/x
  3. Step 3: Cross multiply
    524.07x = 785.70 × 280.80
  4. Step 4: Simplify right side
    524.07x = 220,624.56
  5. Step 5: Solve for x
    x = 220,624.56/524.07
  6. Step 6: Final answer
    x = 420.98

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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.