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Finding the Fourth Proportional to 425.94, 638.46 and 288.66

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Solution

The fourth proportional to 425.94, 638.46 and 288.66 is: 432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.94 : 638.46 = 288.66 : x
  2. Step 2: Convert to fraction form
    425.94/638.46 = 288.66/x
  3. Step 3: Cross multiply
    425.94x = 638.46 × 288.66
  4. Step 4: Simplify right side
    425.94x = 184,297.86
  5. Step 5: Solve for x
    x = 184,297.86/425.94
  6. Step 6: Final answer
    x = 432.69

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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.