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Finding the Fourth Proportional to 566.45, 847.40 and 490.23

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Solution

The fourth proportional to 566.45, 847.40 and 490.23 is: 733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.45 : 847.40 = 490.23 : x
  2. Step 2: Convert to fraction form
    566.45/847.40 = 490.23/x
  3. Step 3: Cross multiply
    566.45x = 847.40 × 490.23
  4. Step 4: Simplify right side
    566.45x = 415,418.45
  5. Step 5: Solve for x
    x = 415,418.45/566.45
  6. Step 6: Final answer
    x = 733.38

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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.