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Finding the Fourth Proportional to 516.90, 712.98 and 317.64

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Solution

The fourth proportional to 516.90, 712.98 and 317.64 is: 438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.90 : 712.98 = 317.64 : x
  2. Step 2: Convert to fraction form
    516.90/712.98 = 317.64/x
  3. Step 3: Cross multiply
    516.90x = 712.98 × 317.64
  4. Step 4: Simplify right side
    516.90x = 226,470.97
  5. Step 5: Solve for x
    x = 226,470.97/516.90
  6. Step 6: Final answer
    x = 438.13

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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.