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Finding the Fourth Proportional to 468.87, 705.39 and 286.41

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Solution

The fourth proportional to 468.87, 705.39 and 286.41 is: 430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.87 : 705.39 = 286.41 : x
  2. Step 2: Convert to fraction form
    468.87/705.39 = 286.41/x
  3. Step 3: Cross multiply
    468.87x = 705.39 × 286.41
  4. Step 4: Simplify right side
    468.87x = 202,030.75
  5. Step 5: Solve for x
    x = 202,030.75/468.87
  6. Step 6: Final answer
    x = 430.89

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Why These Related Problems?

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