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Finding the Fourth Proportional to 647.25, 892.72 and 410.99

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Solution

The fourth proportional to 647.25, 892.72 and 410.99 is: 566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.25 : 892.72 = 410.99 : x
  2. Step 2: Convert to fraction form
    647.25/892.72 = 410.99/x
  3. Step 3: Cross multiply
    647.25x = 892.72 × 410.99
  4. Step 4: Simplify right side
    647.25x = 366,898.99
  5. Step 5: Solve for x
    x = 366,898.99/647.25
  6. Step 6: Final answer
    x = 566.86

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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.