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Finding the Fourth Proportional to 495.36, 682.66 and 355.24

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Solution

The fourth proportional to 495.36, 682.66 and 355.24 is: 489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.36 : 682.66 = 355.24 : x
  2. Step 2: Convert to fraction form
    495.36/682.66 = 355.24/x
  3. Step 3: Cross multiply
    495.36x = 682.66 × 355.24
  4. Step 4: Simplify right side
    495.36x = 242,507.31
  5. Step 5: Solve for x
    x = 242,507.31/495.36
  6. Step 6: Final answer
    x = 489.55

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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.