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Finding the Fourth Proportional to 594.61, 892.05 and 183.76

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Solution

The fourth proportional to 594.61, 892.05 and 183.76 is: 275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.61 : 892.05 = 183.76 : x
  2. Step 2: Convert to fraction form
    594.61/892.05 = 183.76/x
  3. Step 3: Cross multiply
    594.61x = 892.05 × 183.76
  4. Step 4: Simplify right side
    594.61x = 163,923.11
  5. Step 5: Solve for x
    x = 163,923.11/594.61
  6. Step 6: Final answer
    x = 275.68

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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.