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Finding the Fourth Proportional to 355.90, 534.06 and 329.02

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Solution

The fourth proportional to 355.90, 534.06 and 329.02 is: 493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.90 : 534.06 = 329.02 : x
  2. Step 2: Convert to fraction form
    355.90/534.06 = 329.02/x
  3. Step 3: Cross multiply
    355.90x = 534.06 × 329.02
  4. Step 4: Simplify right side
    355.90x = 175,716.42
  5. Step 5: Solve for x
    x = 175,716.42/355.90
  6. Step 6: Final answer
    x = 493.72

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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.