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Finding the Fourth Proportional to 685.73, 946.23 and 405.93

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Solution

The fourth proportional to 685.73, 946.23 and 405.93 is: 560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.73 : 946.23 = 405.93 : x
  2. Step 2: Convert to fraction form
    685.73/946.23 = 405.93/x
  3. Step 3: Cross multiply
    685.73x = 946.23 × 405.93
  4. Step 4: Simplify right side
    685.73x = 384,103.14
  5. Step 5: Solve for x
    x = 384,103.14/685.73
  6. Step 6: Final answer
    x = 560.14

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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.