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Finding the Fourth Proportional to 477.81, 717.30 and 295.47

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Solution

The fourth proportional to 477.81, 717.30 and 295.47 is: 443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.81 : 717.30 = 295.47 : x
  2. Step 2: Convert to fraction form
    477.81/717.30 = 295.47/x
  3. Step 3: Cross multiply
    477.81x = 717.30 × 295.47
  4. Step 4: Simplify right side
    477.81x = 211,940.63
  5. Step 5: Solve for x
    x = 211,940.63/477.81
  6. Step 6: Final answer
    x = 443.57

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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.