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Finding the Fourth Proportional to 566.12, 847.96 and 382.50

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Solution

The fourth proportional to 566.12, 847.96 and 382.50 is: 572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.12 : 847.96 = 382.50 : x
  2. Step 2: Convert to fraction form
    566.12/847.96 = 382.50/x
  3. Step 3: Cross multiply
    566.12x = 847.96 × 382.50
  4. Step 4: Simplify right side
    566.12x = 324,344.70
  5. Step 5: Solve for x
    x = 324,344.70/566.12
  6. Step 6: Final answer
    x = 572.93

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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.