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Finding the Fourth Proportional to 311.55, 465.06 and 289.02

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Solution

The fourth proportional to 311.55, 465.06 and 289.02 is: 431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.55 : 465.06 = 289.02 : x
  2. Step 2: Convert to fraction form
    311.55/465.06 = 289.02/x
  3. Step 3: Cross multiply
    311.55x = 465.06 × 289.02
  4. Step 4: Simplify right side
    311.55x = 134,411.64
  5. Step 5: Solve for x
    x = 134,411.64/311.55
  6. Step 6: Final answer
    x = 431.43

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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.