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Finding the Fourth Proportional to 566.76, 849.06 and 505.23

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Solution

The fourth proportional to 566.76, 849.06 and 505.23 is: 756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.76 : 849.06 = 505.23 : x
  2. Step 2: Convert to fraction form
    566.76/849.06 = 505.23/x
  3. Step 3: Cross multiply
    566.76x = 849.06 × 505.23
  4. Step 4: Simplify right side
    566.76x = 428,970.58
  5. Step 5: Solve for x
    x = 428,970.58/566.76
  6. Step 6: Final answer
    x = 756.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.