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Finding the Fourth Proportional to 342.96, 516.66 and 258

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Solution

The fourth proportional to 342.96, 516.66 and 258 is: 388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.96 : 516.66 = 258 : x
  2. Step 2: Convert to fraction form
    342.96/516.66 = 258/x
  3. Step 3: Cross multiply
    342.96x = 516.66 × 258
  4. Step 4: Simplify right side
    342.96x = 133,298.28
  5. Step 5: Solve for x
    x = 133,298.28/342.96
  6. Step 6: Final answer
    x = 388.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.