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Finding the Fourth Proportional to 342.45, 516.07 and 309.98

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Solution

The fourth proportional to 342.45, 516.07 and 309.98 is: 467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.45 : 516.07 = 309.98 : x
  2. Step 2: Convert to fraction form
    342.45/516.07 = 309.98/x
  3. Step 3: Cross multiply
    342.45x = 516.07 × 309.98
  4. Step 4: Simplify right side
    342.45x = 159,971.89
  5. Step 5: Solve for x
    x = 159,971.89/342.45
  6. Step 6: Final answer
    x = 467.14

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Why These Related Problems?

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