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Finding the Fourth Proportional to 642.69, 886.89 and 362.94

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Solution

The fourth proportional to 642.69, 886.89 and 362.94 is: 500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.69 : 886.89 = 362.94 : x
  2. Step 2: Convert to fraction form
    642.69/886.89 = 362.94/x
  3. Step 3: Cross multiply
    642.69x = 886.89 × 362.94
  4. Step 4: Simplify right side
    642.69x = 321,887.86
  5. Step 5: Solve for x
    x = 321,887.86/642.69
  6. Step 6: Final answer
    x = 500.84

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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.