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Finding the Fourth Proportional to 631.63, 946.42 and 448.13

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Solution

The fourth proportional to 631.63, 946.42 and 448.13 is: 671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.63 : 946.42 = 448.13 : x
  2. Step 2: Convert to fraction form
    631.63/946.42 = 448.13/x
  3. Step 3: Cross multiply
    631.63x = 946.42 × 448.13
  4. Step 4: Simplify right side
    631.63x = 424,120.44
  5. Step 5: Solve for x
    x = 424,120.44/631.63
  6. Step 6: Final answer
    x = 671.47

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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.