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Finding the Fourth Proportional to 618.91, 854.15 and 356.98

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Solution

The fourth proportional to 618.91, 854.15 and 356.98 is: 492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.91 : 854.15 = 356.98 : x
  2. Step 2: Convert to fraction form
    618.91/854.15 = 356.98/x
  3. Step 3: Cross multiply
    618.91x = 854.15 × 356.98
  4. Step 4: Simplify right side
    618.91x = 304,914.47
  5. Step 5: Solve for x
    x = 304,914.47/618.91
  6. Step 6: Final answer
    x = 492.66

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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.