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Finding the Fourth Proportional to 468.53, 647.09 and 364.87

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Solution

The fourth proportional to 468.53, 647.09 and 364.87 is: 503.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.53 : 647.09 = 364.87 : x
  2. Step 2: Convert to fraction form
    468.53/647.09 = 364.87/x
  3. Step 3: Cross multiply
    468.53x = 647.09 × 364.87
  4. Step 4: Simplify right side
    468.53x = 236,103.73
  5. Step 5: Solve for x
    x = 236,103.73/468.53
  6. Step 6: Final answer
    x = 503.92

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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.