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Finding the Fourth Proportional to 468.18, 646.88 and 378.83

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Solution

The fourth proportional to 468.18, 646.88 and 378.83 is: 523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.18 : 646.88 = 378.83 : x
  2. Step 2: Convert to fraction form
    468.18/646.88 = 378.83/x
  3. Step 3: Cross multiply
    468.18x = 646.88 × 378.83
  4. Step 4: Simplify right side
    468.18x = 245,052.42
  5. Step 5: Solve for x
    x = 245,052.42/468.18
  6. Step 6: Final answer
    x = 523.41

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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.