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Finding the Fourth Proportional to 495.04, 682.86 and 298.48

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Solution

The fourth proportional to 495.04, 682.86 and 298.48 is: 411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.04 : 682.86 = 298.48 : x
  2. Step 2: Convert to fraction form
    495.04/682.86 = 298.48/x
  3. Step 3: Cross multiply
    495.04x = 682.86 × 298.48
  4. Step 4: Simplify right side
    495.04x = 203,820.05
  5. Step 5: Solve for x
    x = 203,820.05/495.04
  6. Step 6: Final answer
    x = 411.72

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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.