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Finding the Fourth Proportional to 284.41, 393.15 and 253.63

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Solution

The fourth proportional to 284.41, 393.15 and 253.63 is: 350.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.41 : 393.15 = 253.63 : x
  2. Step 2: Convert to fraction form
    284.41/393.15 = 253.63/x
  3. Step 3: Cross multiply
    284.41x = 393.15 × 253.63
  4. Step 4: Simplify right side
    284.41x = 99,714.63
  5. Step 5: Solve for x
    x = 99,714.63/284.41
  6. Step 6: Final answer
    x = 350.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.