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Finding the Fourth Proportional to 342.23, 513.53 and 261.59

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Solution

The fourth proportional to 342.23, 513.53 and 261.59 is: 392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.23 : 513.53 = 261.59 : x
  2. Step 2: Convert to fraction form
    342.23/513.53 = 261.59/x
  3. Step 3: Cross multiply
    342.23x = 513.53 × 261.59
  4. Step 4: Simplify right side
    342.23x = 134,334.31
  5. Step 5: Solve for x
    x = 134,334.31/342.23
  6. Step 6: Final answer
    x = 392.53

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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.