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Finding the Fourth Proportional to 516.84, 712.40 and 411.76

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Solution

The fourth proportional to 516.84, 712.40 and 411.76 is: 567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.84 : 712.40 = 411.76 : x
  2. Step 2: Convert to fraction form
    516.84/712.40 = 411.76/x
  3. Step 3: Cross multiply
    516.84x = 712.40 × 411.76
  4. Step 4: Simplify right side
    516.84x = 293,337.82
  5. Step 5: Solve for x
    x = 293,337.82/516.84
  6. Step 6: Final answer
    x = 567.56

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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.