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Finding the Fourth Proportional to 522.32, 783.41 and 327.38

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Solution

The fourth proportional to 522.32, 783.41 and 327.38 is: 491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.32 : 783.41 = 327.38 : x
  2. Step 2: Convert to fraction form
    522.32/783.41 = 327.38/x
  3. Step 3: Cross multiply
    522.32x = 783.41 × 327.38
  4. Step 4: Simplify right side
    522.32x = 256,467.21
  5. Step 5: Solve for x
    x = 256,467.21/522.32
  6. Step 6: Final answer
    x = 491.02

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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.