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Finding the Fourth Proportional to 311.47, 466.53 and 202.93

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Solution

The fourth proportional to 311.47, 466.53 and 202.93 is: 303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.47 : 466.53 = 202.93 : x
  2. Step 2: Convert to fraction form
    311.47/466.53 = 202.93/x
  3. Step 3: Cross multiply
    311.47x = 466.53 × 202.93
  4. Step 4: Simplify right side
    311.47x = 94,672.93
  5. Step 5: Solve for x
    x = 94,672.93/311.47
  6. Step 6: Final answer
    x = 303.96

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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.