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Finding the Fourth Proportional to 922.15, 1,383.44 and 305.81

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Solution

The fourth proportional to 922.15, 1,383.44 and 305.81 is: 458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.15 : 1,383.44 = 305.81 : x
  2. Step 2: Convert to fraction form
    922.15/1,383.44 = 305.81/x
  3. Step 3: Cross multiply
    922.15x = 1,383.44 × 305.81
  4. Step 4: Simplify right side
    922.15x = 423,061.34
  5. Step 5: Solve for x
    x = 423,061.34/922.15
  6. Step 6: Final answer
    x = 458.78

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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.