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Finding the Fourth Proportional to 288.81, 435.98 and 287.19

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Solution

The fourth proportional to 288.81, 435.98 and 287.19 is: 433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.81 : 435.98 = 287.19 : x
  2. Step 2: Convert to fraction form
    288.81/435.98 = 287.19/x
  3. Step 3: Cross multiply
    288.81x = 435.98 × 287.19
  4. Step 4: Simplify right side
    288.81x = 125,209.81
  5. Step 5: Solve for x
    x = 125,209.81/288.81
  6. Step 6: Final answer
    x = 433.54

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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.