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Finding the Fourth Proportional to 495.78, 739.29 and 427.74

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Solution

The fourth proportional to 495.78, 739.29 and 427.74 is: 637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.78 : 739.29 = 427.74 : x
  2. Step 2: Convert to fraction form
    495.78/739.29 = 427.74/x
  3. Step 3: Cross multiply
    495.78x = 739.29 × 427.74
  4. Step 4: Simplify right side
    495.78x = 316,223.90
  5. Step 5: Solve for x
    x = 316,223.90/495.78
  6. Step 6: Final answer
    x = 637.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.