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Finding the Fourth Proportional to 477.76, 717.12 and 364.48

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Solution

The fourth proportional to 477.76, 717.12 and 364.48 is: 547.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.76 : 717.12 = 364.48 : x
  2. Step 2: Convert to fraction form
    477.76/717.12 = 364.48/x
  3. Step 3: Cross multiply
    477.76x = 717.12 × 364.48
  4. Step 4: Simplify right side
    477.76x = 261,375.90
  5. Step 5: Solve for x
    x = 261,375.90/477.76
  6. Step 6: Final answer
    x = 547.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.