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Finding the Fourth Proportional to 618.90, 854.11 and 339.16

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Solution

The fourth proportional to 618.90, 854.11 and 339.16 is: 468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.90 : 854.11 = 339.16 : x
  2. Step 2: Convert to fraction form
    618.90/854.11 = 339.16/x
  3. Step 3: Cross multiply
    618.90x = 854.11 × 339.16
  4. Step 4: Simplify right side
    618.90x = 289,679.95
  5. Step 5: Solve for x
    x = 289,679.95/618.90
  6. Step 6: Final answer
    x = 468.06

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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.