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Finding the Fourth Proportional to 922.32, 1,384.02 and 345.20

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Solution

The fourth proportional to 922.32, 1,384.02 and 345.20 is: 517.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.32 : 1,384.02 = 345.20 : x
  2. Step 2: Convert to fraction form
    922.32/1,384.02 = 345.20/x
  3. Step 3: Cross multiply
    922.32x = 1,384.02 × 345.20
  4. Step 4: Simplify right side
    922.32x = 477,756.78
  5. Step 5: Solve for x
    x = 477,756.78/922.32
  6. Step 6: Final answer
    x = 517.99

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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.