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Finding the Fourth Proportional to 631.40, 946.05 and 387.41

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Solution

The fourth proportional to 631.40, 946.05 and 387.41 is: 580.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.40 : 946.05 = 387.41 : x
  2. Step 2: Convert to fraction form
    631.40/946.05 = 387.41/x
  3. Step 3: Cross multiply
    631.40x = 946.05 × 387.41
  4. Step 4: Simplify right side
    631.40x = 366,504.50
  5. Step 5: Solve for x
    x = 366,504.50/631.40
  6. Step 6: Final answer
    x = 580.47

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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.