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Finding the Fourth Proportional to 523.93, 785.90 and 199.53

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Solution

The fourth proportional to 523.93, 785.90 and 199.53 is: 299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.93 : 785.90 = 199.53 : x
  2. Step 2: Convert to fraction form
    523.93/785.90 = 199.53/x
  3. Step 3: Cross multiply
    523.93x = 785.90 × 199.53
  4. Step 4: Simplify right side
    523.93x = 156,808.66
  5. Step 5: Solve for x
    x = 156,808.66/523.93
  6. Step 6: Final answer
    x = 299.29

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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.