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Finding the Fourth Proportional to 495.42, 682.56 and 347.82

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Solution

The fourth proportional to 495.42, 682.56 and 347.82 is: 479.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.42 : 682.56 = 347.82 : x
  2. Step 2: Convert to fraction form
    495.42/682.56 = 347.82/x
  3. Step 3: Cross multiply
    495.42x = 682.56 × 347.82
  4. Step 4: Simplify right side
    495.42x = 237,408.02
  5. Step 5: Solve for x
    x = 237,408.02/495.42
  6. Step 6: Final answer
    x = 479.21

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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.