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Finding the Fourth Proportional to 523.34, 785.14 and 198.53

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Solution

The fourth proportional to 523.34, 785.14 and 198.53 is: 297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.34 : 785.14 = 198.53 : x
  2. Step 2: Convert to fraction form
    523.34/785.14 = 198.53/x
  3. Step 3: Cross multiply
    523.34x = 785.14 × 198.53
  4. Step 4: Simplify right side
    523.34x = 155,868.93
  5. Step 5: Solve for x
    x = 155,868.93/523.34
  6. Step 6: Final answer
    x = 297.84

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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.