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Finding the Fourth Proportional to 468.56, 646.31 and 281.93

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Solution

The fourth proportional to 468.56, 646.31 and 281.93 is: 388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.56 : 646.31 = 281.93 : x
  2. Step 2: Convert to fraction form
    468.56/646.31 = 281.93/x
  3. Step 3: Cross multiply
    468.56x = 646.31 × 281.93
  4. Step 4: Simplify right side
    468.56x = 182,209.54
  5. Step 5: Solve for x
    x = 182,209.54/468.56
  6. Step 6: Final answer
    x = 388.88

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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.