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Finding the Fourth Proportional to 314.90, 471.42 and 234.10

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Solution

The fourth proportional to 314.90, 471.42 and 234.10 is: 350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.90 : 471.42 = 234.10 : x
  2. Step 2: Convert to fraction form
    314.90/471.42 = 234.10/x
  3. Step 3: Cross multiply
    314.90x = 471.42 × 234.10
  4. Step 4: Simplify right side
    314.90x = 110,359.42
  5. Step 5: Solve for x
    x = 110,359.42/314.90
  6. Step 6: Final answer
    x = 350.46

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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.