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Finding the Fourth Proportional to 475.77, 713.89 and 198.32

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Solution

The fourth proportional to 475.77, 713.89 and 198.32 is: 297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.77 : 713.89 = 198.32 : x
  2. Step 2: Convert to fraction form
    475.77/713.89 = 198.32/x
  3. Step 3: Cross multiply
    475.77x = 713.89 × 198.32
  4. Step 4: Simplify right side
    475.77x = 141,580.81
  5. Step 5: Solve for x
    x = 141,580.81/475.77
  6. Step 6: Final answer
    x = 297.59

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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.