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Finding the Fourth Proportional to 288.60, 435.21 and 286.68

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Solution

The fourth proportional to 288.60, 435.21 and 286.68 is: 432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.60 : 435.21 = 286.68 : x
  2. Step 2: Convert to fraction form
    288.60/435.21 = 286.68/x
  3. Step 3: Cross multiply
    288.60x = 435.21 × 286.68
  4. Step 4: Simplify right side
    288.60x = 124,766.00
  5. Step 5: Solve for x
    x = 124,766.00/288.60
  6. Step 6: Final answer
    x = 432.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.