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Finding the Fourth Proportional to 516.19, 712.65 and 341.84

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Solution

The fourth proportional to 516.19, 712.65 and 341.84 is: 471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.19 : 712.65 = 341.84 : x
  2. Step 2: Convert to fraction form
    516.19/712.65 = 341.84/x
  3. Step 3: Cross multiply
    516.19x = 712.65 × 341.84
  4. Step 4: Simplify right side
    516.19x = 243,612.28
  5. Step 5: Solve for x
    x = 243,612.28/516.19
  6. Step 6: Final answer
    x = 471.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.