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Finding the Fourth Proportional to 523.37, 785.06 and 198.77

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Solution

The fourth proportional to 523.37, 785.06 and 198.77 is: 298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.37 : 785.06 = 198.77 : x
  2. Step 2: Convert to fraction form
    523.37/785.06 = 198.77/x
  3. Step 3: Cross multiply
    523.37x = 785.06 × 198.77
  4. Step 4: Simplify right side
    523.37x = 156,041.46
  5. Step 5: Solve for x
    x = 156,041.46/523.37
  6. Step 6: Final answer
    x = 298.15

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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.