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Finding the Fourth Proportional to 492.08, 738.13 and 330.08

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Solution

The fourth proportional to 492.08, 738.13 and 330.08 is: 495.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.08 : 738.13 = 330.08 : x
  2. Step 2: Convert to fraction form
    492.08/738.13 = 330.08/x
  3. Step 3: Cross multiply
    492.08x = 738.13 × 330.08
  4. Step 4: Simplify right side
    492.08x = 243,641.95
  5. Step 5: Solve for x
    x = 243,641.95/492.08
  6. Step 6: Final answer
    x = 495.13

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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.