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Finding the Fourth Proportional to 566.40, 850.16 and 505.92

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Solution

The fourth proportional to 566.40, 850.16 and 505.92 is: 759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.40 : 850.16 = 505.92 : x
  2. Step 2: Convert to fraction form
    566.40/850.16 = 505.92/x
  3. Step 3: Cross multiply
    566.40x = 850.16 × 505.92
  4. Step 4: Simplify right side
    566.40x = 430,112.95
  5. Step 5: Solve for x
    x = 430,112.95/566.40
  6. Step 6: Final answer
    x = 759.38

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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.