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Finding the Fourth Proportional to 342.09, 509.99 and 316.17

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Solution

The fourth proportional to 342.09, 509.99 and 316.17 is: 471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.09 : 509.99 = 316.17 : x
  2. Step 2: Convert to fraction form
    342.09/509.99 = 316.17/x
  3. Step 3: Cross multiply
    342.09x = 509.99 × 316.17
  4. Step 4: Simplify right side
    342.09x = 161,241.96
  5. Step 5: Solve for x
    x = 161,241.96/342.09
  6. Step 6: Final answer
    x = 471.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.