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Finding the Fourth Proportional to 495.72, 682.74 and 465.48

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Solution

The fourth proportional to 495.72, 682.74 and 465.48 is: 641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.72 : 682.74 = 465.48 : x
  2. Step 2: Convert to fraction form
    495.72/682.74 = 465.48/x
  3. Step 3: Cross multiply
    495.72x = 682.74 × 465.48
  4. Step 4: Simplify right side
    495.72x = 317,801.82
  5. Step 5: Solve for x
    x = 317,801.82/495.72
  6. Step 6: Final answer
    x = 641.09

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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.