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Finding the Fourth Proportional to 329.90, 454.86 and 290.93

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Solution

The fourth proportional to 329.90, 454.86 and 290.93 is: 401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.90 : 454.86 = 290.93 : x
  2. Step 2: Convert to fraction form
    329.90/454.86 = 290.93/x
  3. Step 3: Cross multiply
    329.90x = 454.86 × 290.93
  4. Step 4: Simplify right side
    329.90x = 132,330.15
  5. Step 5: Solve for x
    x = 132,330.15/329.90
  6. Step 6: Final answer
    x = 401.13

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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.