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Finding the Fourth Proportional to 685.71, 946.29 and 405.94

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Solution

The fourth proportional to 685.71, 946.29 and 405.94 is: 560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.71 : 946.29 = 405.94 : x
  2. Step 2: Convert to fraction form
    685.71/946.29 = 405.94/x
  3. Step 3: Cross multiply
    685.71x = 946.29 × 405.94
  4. Step 4: Simplify right side
    685.71x = 384,137.89
  5. Step 5: Solve for x
    x = 384,137.89/685.71
  6. Step 6: Final answer
    x = 560.20

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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.