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Finding the Fourth Proportional to 523.95, 785.02 and 280.23

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Solution

The fourth proportional to 523.95, 785.02 and 280.23 is: 419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.95 : 785.02 = 280.23 : x
  2. Step 2: Convert to fraction form
    523.95/785.02 = 280.23/x
  3. Step 3: Cross multiply
    523.95x = 785.02 × 280.23
  4. Step 4: Simplify right side
    523.95x = 219,986.15
  5. Step 5: Solve for x
    x = 219,986.15/523.95
  6. Step 6: Final answer
    x = 419.86

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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.