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Finding the Fourth Proportional to 311.16, 464.53 and 288.60

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Solution

The fourth proportional to 311.16, 464.53 and 288.60 is: 430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.16 : 464.53 = 288.60 : x
  2. Step 2: Convert to fraction form
    311.16/464.53 = 288.60/x
  3. Step 3: Cross multiply
    311.16x = 464.53 × 288.60
  4. Step 4: Simplify right side
    311.16x = 134,063.36
  5. Step 5: Solve for x
    x = 134,063.36/311.16
  6. Step 6: Final answer
    x = 430.85

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Why These Related Problems?

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