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Finding the Fourth Proportional to 287.35, 432.72 and 251.22

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Solution

The fourth proportional to 287.35, 432.72 and 251.22 is: 378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.35 : 432.72 = 251.22 : x
  2. Step 2: Convert to fraction form
    287.35/432.72 = 251.22/x
  3. Step 3: Cross multiply
    287.35x = 432.72 × 251.22
  4. Step 4: Simplify right side
    287.35x = 108,704.50
  5. Step 5: Solve for x
    x = 108,704.50/287.35
  6. Step 6: Final answer
    x = 378.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.