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Finding the Fourth Proportional to 414.92, 618.76 and 368.30

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Solution

The fourth proportional to 414.92, 618.76 and 368.30 is: 549.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.92 : 618.76 = 368.30 : x
  2. Step 2: Convert to fraction form
    414.92/618.76 = 368.30/x
  3. Step 3: Cross multiply
    414.92x = 618.76 × 368.30
  4. Step 4: Simplify right side
    414.92x = 227,889.31
  5. Step 5: Solve for x
    x = 227,889.31/414.92
  6. Step 6: Final answer
    x = 549.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.