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Finding the Fourth Proportional to 288.86, 431.03 and 258.17

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Solution

The fourth proportional to 288.86, 431.03 and 258.17 is: 385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.86 : 431.03 = 258.17 : x
  2. Step 2: Convert to fraction form
    288.86/431.03 = 258.17/x
  3. Step 3: Cross multiply
    288.86x = 431.03 × 258.17
  4. Step 4: Simplify right side
    288.86x = 111,275.57
  5. Step 5: Solve for x
    x = 111,275.57/288.86
  6. Step 6: Final answer
    x = 385.23

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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.