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Finding the Fourth Proportional to 618.53, 927.18 and 309.44

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Solution

The fourth proportional to 618.53, 927.18 and 309.44 is: 463.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.53 : 927.18 = 309.44 : x
  2. Step 2: Convert to fraction form
    618.53/927.18 = 309.44/x
  3. Step 3: Cross multiply
    618.53x = 927.18 × 309.44
  4. Step 4: Simplify right side
    618.53x = 286,908.90
  5. Step 5: Solve for x
    x = 286,908.90/618.53
  6. Step 6: Final answer
    x = 463.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.