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Finding the Fourth Proportional to 492.17, 736.83 and 383.63

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Solution

The fourth proportional to 492.17, 736.83 and 383.63 is: 574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.17 : 736.83 = 383.63 : x
  2. Step 2: Convert to fraction form
    492.17/736.83 = 383.63/x
  3. Step 3: Cross multiply
    492.17x = 736.83 × 383.63
  4. Step 4: Simplify right side
    492.17x = 282,670.09
  5. Step 5: Solve for x
    x = 282,670.09/492.17
  6. Step 6: Final answer
    x = 574.33

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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.