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Finding the Fourth Proportional to 618.09, 926.06 and 309.21

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Solution

The fourth proportional to 618.09, 926.06 and 309.21 is: 463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.09 : 926.06 = 309.21 : x
  2. Step 2: Convert to fraction form
    618.09/926.06 = 309.21/x
  3. Step 3: Cross multiply
    618.09x = 926.06 × 309.21
  4. Step 4: Simplify right side
    618.09x = 286,345.47
  5. Step 5: Solve for x
    x = 286,345.47/618.09
  6. Step 6: Final answer
    x = 463.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.