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Finding the Fourth Proportional to 314.38, 471.41 and 175.35

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Solution

The fourth proportional to 314.38, 471.41 and 175.35 is: 262.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.38 : 471.41 = 175.35 : x
  2. Step 2: Convert to fraction form
    314.38/471.41 = 175.35/x
  3. Step 3: Cross multiply
    314.38x = 471.41 × 175.35
  4. Step 4: Simplify right side
    314.38x = 82,662.38
  5. Step 5: Solve for x
    x = 82,662.38/314.38
  6. Step 6: Final answer
    x = 262.94

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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.