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Finding the Fourth Proportional to 468.86, 703.49 and 286.34

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Solution

The fourth proportional to 468.86, 703.49 and 286.34 is: 429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.86 : 703.49 = 286.34 : x
  2. Step 2: Convert to fraction form
    468.86/703.49 = 286.34/x
  3. Step 3: Cross multiply
    468.86x = 703.49 × 286.34
  4. Step 4: Simplify right side
    468.86x = 201,432.38
  5. Step 5: Solve for x
    x = 201,432.38/468.86
  6. Step 6: Final answer
    x = 429.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.