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Finding the Fourth Proportional to 462.78, 638.82 and 364.98

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Solution

The fourth proportional to 462.78, 638.82 and 364.98 is: 503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.78 : 638.82 = 364.98 : x
  2. Step 2: Convert to fraction form
    462.78/638.82 = 364.98/x
  3. Step 3: Cross multiply
    462.78x = 638.82 × 364.98
  4. Step 4: Simplify right side
    462.78x = 233,156.52
  5. Step 5: Solve for x
    x = 233,156.52/462.78
  6. Step 6: Final answer
    x = 503.82

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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.