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Finding the Fourth Proportional to 342.99, 511.23 and 323.53

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Solution

The fourth proportional to 342.99, 511.23 and 323.53 is: 482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.99 : 511.23 = 323.53 : x
  2. Step 2: Convert to fraction form
    342.99/511.23 = 323.53/x
  3. Step 3: Cross multiply
    342.99x = 511.23 × 323.53
  4. Step 4: Simplify right side
    342.99x = 165,398.24
  5. Step 5: Solve for x
    x = 165,398.24/342.99
  6. Step 6: Final answer
    x = 482.22

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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.