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Finding the Fourth Proportional to 524.06, 785.45 and 280.22

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Solution

The fourth proportional to 524.06, 785.45 and 280.22 is: 419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.06 : 785.45 = 280.22 : x
  2. Step 2: Convert to fraction form
    524.06/785.45 = 280.22/x
  3. Step 3: Cross multiply
    524.06x = 785.45 × 280.22
  4. Step 4: Simplify right side
    524.06x = 220,098.80
  5. Step 5: Solve for x
    x = 220,098.80/524.06
  6. Step 6: Final answer
    x = 419.99

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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.