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Finding the Fourth Proportional to 288.96, 431.76 and 224.88

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Solution

The fourth proportional to 288.96, 431.76 and 224.88 is: 336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.96 : 431.76 = 224.88 : x
  2. Step 2: Convert to fraction form
    288.96/431.76 = 224.88/x
  3. Step 3: Cross multiply
    288.96x = 431.76 × 224.88
  4. Step 4: Simplify right side
    288.96x = 97,094.19
  5. Step 5: Solve for x
    x = 97,094.19/288.96
  6. Step 6: Final answer
    x = 336.01

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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.