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Finding the Fourth Proportional to 471.94, 707.77 and 198.02

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Solution

The fourth proportional to 471.94, 707.77 and 198.02 is: 296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.94 : 707.77 = 198.02 : x
  2. Step 2: Convert to fraction form
    471.94/707.77 = 198.02/x
  3. Step 3: Cross multiply
    471.94x = 707.77 × 198.02
  4. Step 4: Simplify right side
    471.94x = 140,154.63
  5. Step 5: Solve for x
    x = 140,154.63/471.94
  6. Step 6: Final answer
    x = 296.98

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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.