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Finding the Fourth Proportional to 492.59, 738.17 and 309.46

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Solution

The fourth proportional to 492.59, 738.17 and 309.46 is: 463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.59 : 738.17 = 309.46 : x
  2. Step 2: Convert to fraction form
    492.59/738.17 = 309.46/x
  3. Step 3: Cross multiply
    492.59x = 738.17 × 309.46
  4. Step 4: Simplify right side
    492.59x = 228,434.09
  5. Step 5: Solve for x
    x = 228,434.09/492.59
  6. Step 6: Final answer
    x = 463.74

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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.