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Finding the Fourth Proportional to 922.68, 1,384.01 and 229.34

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Solution

The fourth proportional to 922.68, 1,384.01 and 229.34 is: 344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.68 : 1,384.01 = 229.34 : x
  2. Step 2: Convert to fraction form
    922.68/1,384.01 = 229.34/x
  3. Step 3: Cross multiply
    922.68x = 1,384.01 × 229.34
  4. Step 4: Simplify right side
    922.68x = 317,401.93
  5. Step 5: Solve for x
    x = 317,401.93/922.68
  6. Step 6: Final answer
    x = 344.00

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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.