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Finding the Fourth Proportional to 352.80, 486.48 and 290.55

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Solution

The fourth proportional to 352.80, 486.48 and 290.55 is: 400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.80 : 486.48 = 290.55 : x
  2. Step 2: Convert to fraction form
    352.80/486.48 = 290.55/x
  3. Step 3: Cross multiply
    352.80x = 486.48 × 290.55
  4. Step 4: Simplify right side
    352.80x = 141,346.76
  5. Step 5: Solve for x
    x = 141,346.76/352.80
  6. Step 6: Final answer
    x = 400.64

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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.