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Finding the Fourth Proportional to 468.05, 646.08 and 281.54

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Solution

The fourth proportional to 468.05, 646.08 and 281.54 is: 388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.05 : 646.08 = 281.54 : x
  2. Step 2: Convert to fraction form
    468.05/646.08 = 281.54/x
  3. Step 3: Cross multiply
    468.05x = 646.08 × 281.54
  4. Step 4: Simplify right side
    468.05x = 181,900.30
  5. Step 5: Solve for x
    x = 181,900.30/468.05
  6. Step 6: Final answer
    x = 388.64

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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.