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Finding the Fourth Proportional to 516.66, 713 and 405.93

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Solution

The fourth proportional to 516.66, 713 and 405.93 is: 560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.66 : 713 = 405.93 : x
  2. Step 2: Convert to fraction form
    516.66/713 = 405.93/x
  3. Step 3: Cross multiply
    516.66x = 713 × 405.93
  4. Step 4: Simplify right side
    516.66x = 289,428.09
  5. Step 5: Solve for x
    x = 289,428.09/516.66
  6. Step 6: Final answer
    x = 560.19

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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.