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Finding the Fourth Proportional to 642.59, 886.81 and 362.84

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Solution

The fourth proportional to 642.59, 886.81 and 362.84 is: 500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.59 : 886.81 = 362.84 : x
  2. Step 2: Convert to fraction form
    642.59/886.81 = 362.84/x
  3. Step 3: Cross multiply
    642.59x = 886.81 × 362.84
  4. Step 4: Simplify right side
    642.59x = 321,771.45
  5. Step 5: Solve for x
    x = 321,771.45/642.59
  6. Step 6: Final answer
    x = 500.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.