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Finding the Fourth Proportional to 288.71, 429.35 and 279.59

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Solution

The fourth proportional to 288.71, 429.35 and 279.59 is: 415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.71 : 429.35 = 279.59 : x
  2. Step 2: Convert to fraction form
    288.71/429.35 = 279.59/x
  3. Step 3: Cross multiply
    288.71x = 429.35 × 279.59
  4. Step 4: Simplify right side
    288.71x = 120,040.57
  5. Step 5: Solve for x
    x = 120,040.57/288.71
  6. Step 6: Final answer
    x = 415.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.