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Finding the Fourth Proportional to 342.51, 514.38 and 261.93

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Solution

The fourth proportional to 342.51, 514.38 and 261.93 is: 393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.51 : 514.38 = 261.93 : x
  2. Step 2: Convert to fraction form
    342.51/514.38 = 261.93/x
  3. Step 3: Cross multiply
    342.51x = 514.38 × 261.93
  4. Step 4: Simplify right side
    342.51x = 134,731.55
  5. Step 5: Solve for x
    x = 134,731.55/342.51
  6. Step 6: Final answer
    x = 393.37

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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.