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Finding the Fourth Proportional to 426.66, 638.96 and 289.28

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Solution

The fourth proportional to 426.66, 638.96 and 289.28 is: 433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.66 : 638.96 = 289.28 : x
  2. Step 2: Convert to fraction form
    426.66/638.96 = 289.28/x
  3. Step 3: Cross multiply
    426.66x = 638.96 × 289.28
  4. Step 4: Simplify right side
    426.66x = 184,840.06
  5. Step 5: Solve for x
    x = 184,840.06/426.66
  6. Step 6: Final answer
    x = 433.23

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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.