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Finding the Fourth Proportional to 428.88, 645.84 and 307.99

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Solution

The fourth proportional to 428.88, 645.84 and 307.99 is: 463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.88 : 645.84 = 307.99 : x
  2. Step 2: Convert to fraction form
    428.88/645.84 = 307.99/x
  3. Step 3: Cross multiply
    428.88x = 645.84 × 307.99
  4. Step 4: Simplify right side
    428.88x = 198,912.26
  5. Step 5: Solve for x
    x = 198,912.26/428.88
  6. Step 6: Final answer
    x = 463.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.