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Finding the Fourth Proportional to 340.26, 509.77 and 316.56

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Solution

The fourth proportional to 340.26, 509.77 and 316.56 is: 474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.26 : 509.77 = 316.56 : x
  2. Step 2: Convert to fraction form
    340.26/509.77 = 316.56/x
  3. Step 3: Cross multiply
    340.26x = 509.77 × 316.56
  4. Step 4: Simplify right side
    340.26x = 161,372.79
  5. Step 5: Solve for x
    x = 161,372.79/340.26
  6. Step 6: Final answer
    x = 474.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.