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Finding the Fourth Proportional to 468.14, 645.93 and 281.59

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Solution

The fourth proportional to 468.14, 645.93 and 281.59 is: 388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.14 : 645.93 = 281.59 : x
  2. Step 2: Convert to fraction form
    468.14/645.93 = 281.59/x
  3. Step 3: Cross multiply
    468.14x = 645.93 × 281.59
  4. Step 4: Simplify right side
    468.14x = 181,885.81
  5. Step 5: Solve for x
    x = 181,885.81/468.14
  6. Step 6: Final answer
    x = 388.53

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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.