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Finding the Fourth Proportional to 663.54, 914.64 and 495.42

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Solution

The fourth proportional to 663.54, 914.64 and 495.42 is: 682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.54 : 914.64 = 495.42 : x
  2. Step 2: Convert to fraction form
    663.54/914.64 = 495.42/x
  3. Step 3: Cross multiply
    663.54x = 914.64 × 495.42
  4. Step 4: Simplify right side
    663.54x = 453,130.95
  5. Step 5: Solve for x
    x = 453,130.95/663.54
  6. Step 6: Final answer
    x = 682.90

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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.