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Finding the Fourth Proportional to 566.46, 847.56 and 335.48

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Solution

The fourth proportional to 566.46, 847.56 and 335.48 is: 501.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.46 : 847.56 = 335.48 : x
  2. Step 2: Convert to fraction form
    566.46/847.56 = 335.48/x
  3. Step 3: Cross multiply
    566.46x = 847.56 × 335.48
  4. Step 4: Simplify right side
    566.46x = 284,336.45
  5. Step 5: Solve for x
    x = 284,336.45/566.46
  6. Step 6: Final answer
    x = 501.95

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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.