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Finding the Fourth Proportional to 427.93, 641.24 and 288.59

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Solution

The fourth proportional to 427.93, 641.24 and 288.59 is: 432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.93 : 641.24 = 288.59 : x
  2. Step 2: Convert to fraction form
    427.93/641.24 = 288.59/x
  3. Step 3: Cross multiply
    427.93x = 641.24 × 288.59
  4. Step 4: Simplify right side
    427.93x = 185,055.45
  5. Step 5: Solve for x
    x = 185,055.45/427.93
  6. Step 6: Final answer
    x = 432.44

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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.