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Finding the Fourth Proportional to 594.68, 892.10 and 183.85

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Solution

The fourth proportional to 594.68, 892.10 and 183.85 is: 275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.68 : 892.10 = 183.85 : x
  2. Step 2: Convert to fraction form
    594.68/892.10 = 183.85/x
  3. Step 3: Cross multiply
    594.68x = 892.10 × 183.85
  4. Step 4: Simplify right side
    594.68x = 164,009.90
  5. Step 5: Solve for x
    x = 164,009.90/594.68
  6. Step 6: Final answer
    x = 275.80

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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.