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Finding the Fourth Proportional to 618.71, 854.18 and 397.95

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Solution

The fourth proportional to 618.71, 854.18 and 397.95 is: 549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.71 : 854.18 = 397.95 : x
  2. Step 2: Convert to fraction form
    618.71/854.18 = 397.95/x
  3. Step 3: Cross multiply
    618.71x = 854.18 × 397.95
  4. Step 4: Simplify right side
    618.71x = 339,917.23
  5. Step 5: Solve for x
    x = 339,917.23/618.71
  6. Step 6: Final answer
    x = 549.40

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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.