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Finding the Fourth Proportional to 288.84, 433.24 and 144.64

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Solution

The fourth proportional to 288.84, 433.24 and 144.64 is: 216.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.84 : 433.24 = 144.64 : x
  2. Step 2: Convert to fraction form
    288.84/433.24 = 144.64/x
  3. Step 3: Cross multiply
    288.84x = 433.24 × 144.64
  4. Step 4: Simplify right side
    288.84x = 62,663.83
  5. Step 5: Solve for x
    x = 62,663.83/288.84
  6. Step 6: Final answer
    x = 216.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.