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Finding the Fourth Proportional to 522, 720.36 and 338.32

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Solution

The fourth proportional to 522, 720.36 and 338.32 is: 466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    522 : 720.36 = 338.32 : x
  2. Step 2: Convert to fraction form
    522/720.36 = 338.32/x
  3. Step 3: Cross multiply
    522x = 720.36 × 338.32
  4. Step 4: Simplify right side
    522x = 243,712.20
  5. Step 5: Solve for x
    x = 243,712.20/522
  6. Step 6: Final answer
    x = 466.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.