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Finding the Fourth Proportional to 468.02, 645.76 and 281.36

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Solution

The fourth proportional to 468.02, 645.76 and 281.36 is: 388.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.02 : 645.76 = 281.36 : x
  2. Step 2: Convert to fraction form
    468.02/645.76 = 281.36/x
  3. Step 3: Cross multiply
    468.02x = 645.76 × 281.36
  4. Step 4: Simplify right side
    468.02x = 181,691.03
  5. Step 5: Solve for x
    x = 181,691.03/468.02
  6. Step 6: Final answer
    x = 388.21

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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.