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Finding the Fourth Proportional to 312.85, 469.46 and 272.53

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Solution

The fourth proportional to 312.85, 469.46 and 272.53 is: 408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.85 : 469.46 = 272.53 : x
  2. Step 2: Convert to fraction form
    312.85/469.46 = 272.53/x
  3. Step 3: Cross multiply
    312.85x = 469.46 × 272.53
  4. Step 4: Simplify right side
    312.85x = 127,941.93
  5. Step 5: Solve for x
    x = 127,941.93/312.85
  6. Step 6: Final answer
    x = 408.96

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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.