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Finding the Fourth Proportional to 562.93, 776.46 and 516.46

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Solution

The fourth proportional to 562.93, 776.46 and 516.46 is: 712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.93 : 776.46 = 516.46 : x
  2. Step 2: Convert to fraction form
    562.93/776.46 = 516.46/x
  3. Step 3: Cross multiply
    562.93x = 776.46 × 516.46
  4. Step 4: Simplify right side
    562.93x = 401,010.53
  5. Step 5: Solve for x
    x = 401,010.53/562.93
  6. Step 6: Final answer
    x = 712.36

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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.