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Finding the Fourth Proportional to 516.88, 713.91 and 419.14

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Solution

The fourth proportional to 516.88, 713.91 and 419.14 is: 578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.88 : 713.91 = 419.14 : x
  2. Step 2: Convert to fraction form
    516.88/713.91 = 419.14/x
  3. Step 3: Cross multiply
    516.88x = 713.91 × 419.14
  4. Step 4: Simplify right side
    516.88x = 299,228.24
  5. Step 5: Solve for x
    x = 299,228.24/516.88
  6. Step 6: Final answer
    x = 578.91

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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.