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Finding the Fourth Proportional to 516.58, 712.61 and 341.86

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Solution

The fourth proportional to 516.58, 712.61 and 341.86 is: 471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.58 : 712.61 = 341.86 : x
  2. Step 2: Convert to fraction form
    516.58/712.61 = 341.86/x
  3. Step 3: Cross multiply
    516.58x = 712.61 × 341.86
  4. Step 4: Simplify right side
    516.58x = 243,612.85
  5. Step 5: Solve for x
    x = 243,612.85/516.58
  6. Step 6: Final answer
    x = 471.59

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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.