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Finding the Fourth Proportional to 618.76, 926.85 and 322.21

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Solution

The fourth proportional to 618.76, 926.85 and 322.21 is: 482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.76 : 926.85 = 322.21 : x
  2. Step 2: Convert to fraction form
    618.76/926.85 = 322.21/x
  3. Step 3: Cross multiply
    618.76x = 926.85 × 322.21
  4. Step 4: Simplify right side
    618.76x = 298,640.34
  5. Step 5: Solve for x
    x = 298,640.34/618.76
  6. Step 6: Final answer
    x = 482.64

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Why These Related Problems?

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