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Finding the Fourth Proportional to 566.89, 850.32 and 393.05

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Solution

The fourth proportional to 566.89, 850.32 and 393.05 is: 589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.89 : 850.32 = 393.05 : x
  2. Step 2: Convert to fraction form
    566.89/850.32 = 393.05/x
  3. Step 3: Cross multiply
    566.89x = 850.32 × 393.05
  4. Step 4: Simplify right side
    566.89x = 334,220.40
  5. Step 5: Solve for x
    x = 334,220.40/566.89
  6. Step 6: Final answer
    x = 589.57

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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.