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Finding the Fourth Proportional to 618.86, 854.10 and 356.90

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Solution

The fourth proportional to 618.86, 854.10 and 356.90 is: 492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.86 : 854.10 = 356.90 : x
  2. Step 2: Convert to fraction form
    618.86/854.10 = 356.90/x
  3. Step 3: Cross multiply
    618.86x = 854.10 × 356.90
  4. Step 4: Simplify right side
    618.86x = 304,828.29
  5. Step 5: Solve for x
    x = 304,828.29/618.86
  6. Step 6: Final answer
    x = 492.56

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