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Finding the Fourth Proportional to 495.08, 682.24 and 370.88

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Solution

The fourth proportional to 495.08, 682.24 and 370.88 is: 511.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.08 : 682.24 = 370.88 : x
  2. Step 2: Convert to fraction form
    495.08/682.24 = 370.88/x
  3. Step 3: Cross multiply
    495.08x = 682.24 × 370.88
  4. Step 4: Simplify right side
    495.08x = 253,029.17
  5. Step 5: Solve for x
    x = 253,029.17/495.08
  6. Step 6: Final answer
    x = 511.09

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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.