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Finding the Fourth Proportional to 594.77, 892.22 and 204.75

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Solution

The fourth proportional to 594.77, 892.22 and 204.75 is: 307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.77 : 892.22 = 204.75 : x
  2. Step 2: Convert to fraction form
    594.77/892.22 = 204.75/x
  3. Step 3: Cross multiply
    594.77x = 892.22 × 204.75
  4. Step 4: Simplify right side
    594.77x = 182,681.02
  5. Step 5: Solve for x
    x = 182,681.02/594.77
  6. Step 6: Final answer
    x = 307.15

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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.