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Finding the Fourth Proportional to 288.96, 430.14 and 284.64

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Solution

The fourth proportional to 288.96, 430.14 and 284.64 is: 423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.96 : 430.14 = 284.64 : x
  2. Step 2: Convert to fraction form
    288.96/430.14 = 284.64/x
  3. Step 3: Cross multiply
    288.96x = 430.14 × 284.64
  4. Step 4: Simplify right side
    288.96x = 122,435.05
  5. Step 5: Solve for x
    x = 122,435.05/288.96
  6. Step 6: Final answer
    x = 423.71

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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.