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Finding the Fourth Proportional to 684.71, 944.92 and 405.02

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Solution

The fourth proportional to 684.71, 944.92 and 405.02 is: 558.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.71 : 944.92 = 405.02 : x
  2. Step 2: Convert to fraction form
    684.71/944.92 = 405.02/x
  3. Step 3: Cross multiply
    684.71x = 944.92 × 405.02
  4. Step 4: Simplify right side
    684.71x = 382,711.50
  5. Step 5: Solve for x
    x = 382,711.50/684.71
  6. Step 6: Final answer
    x = 558.94

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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.