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Finding the Fourth Proportional to 943.16, 1,414.76 and 366

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Solution

The fourth proportional to 943.16, 1,414.76 and 366 is: 549.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.16 : 1,414.76 = 366 : x
  2. Step 2: Convert to fraction form
    943.16/1,414.76 = 366/x
  3. Step 3: Cross multiply
    943.16x = 1,414.76 × 366
  4. Step 4: Simplify right side
    943.16x = 517,802.16
  5. Step 5: Solve for x
    x = 517,802.16/943.16
  6. Step 6: Final answer
    x = 549.01

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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.