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Finding the Fourth Proportional to 618.96, 854.16 and 367.06

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Solution

The fourth proportional to 618.96, 854.16 and 367.06 is: 506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.96 : 854.16 = 367.06 : x
  2. Step 2: Convert to fraction form
    618.96/854.16 = 367.06/x
  3. Step 3: Cross multiply
    618.96x = 854.16 × 367.06
  4. Step 4: Simplify right side
    618.96x = 313,525.53
  5. Step 5: Solve for x
    x = 313,525.53/618.96
  6. Step 6: Final answer
    x = 506.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.