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Finding the Fourth Proportional to 566.71, 850.25 and 277.94

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Solution

The fourth proportional to 566.71, 850.25 and 277.94 is: 417.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.71 : 850.25 = 277.94 : x
  2. Step 2: Convert to fraction form
    566.71/850.25 = 277.94/x
  3. Step 3: Cross multiply
    566.71x = 850.25 × 277.94
  4. Step 4: Simplify right side
    566.71x = 236,319.22
  5. Step 5: Solve for x
    x = 236,319.22/566.71
  6. Step 6: Final answer
    x = 417.00

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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.