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Finding the Fourth Proportional to 631.41, 946.23 and 538.39

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Solution

The fourth proportional to 631.41, 946.23 and 538.39 is: 806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.41 : 946.23 = 538.39 : x
  2. Step 2: Convert to fraction form
    631.41/946.23 = 538.39/x
  3. Step 3: Cross multiply
    631.41x = 946.23 × 538.39
  4. Step 4: Simplify right side
    631.41x = 509,436.04
  5. Step 5: Solve for x
    x = 509,436.04/631.41
  6. Step 6: Final answer
    x = 806.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.