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Finding the Fourth Proportional to 284.22, 424.04 and 253.44

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Solution

The fourth proportional to 284.22, 424.04 and 253.44 is: 378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.22 : 424.04 = 253.44 : x
  2. Step 2: Convert to fraction form
    284.22/424.04 = 253.44/x
  3. Step 3: Cross multiply
    284.22x = 424.04 × 253.44
  4. Step 4: Simplify right side
    284.22x = 107,467.43
  5. Step 5: Solve for x
    x = 107,467.43/284.22
  6. Step 6: Final answer
    x = 378.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.