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Finding the Fourth Proportional to 428.88, 640.77 and 414.54

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Solution

The fourth proportional to 428.88, 640.77 and 414.54 is: 619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.88 : 640.77 = 414.54 : x
  2. Step 2: Convert to fraction form
    428.88/640.77 = 414.54/x
  3. Step 3: Cross multiply
    428.88x = 640.77 × 414.54
  4. Step 4: Simplify right side
    428.88x = 265,624.80
  5. Step 5: Solve for x
    x = 265,624.80/428.88
  6. Step 6: Final answer
    x = 619.35

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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.