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Finding the Fourth Proportional to 455.88, 628.88 and 298.56

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Solution

The fourth proportional to 455.88, 628.88 and 298.56 is: 411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.88 : 628.88 = 298.56 : x
  2. Step 2: Convert to fraction form
    455.88/628.88 = 298.56/x
  3. Step 3: Cross multiply
    455.88x = 628.88 × 298.56
  4. Step 4: Simplify right side
    455.88x = 187,758.41
  5. Step 5: Solve for x
    x = 187,758.41/455.88
  6. Step 6: Final answer
    x = 411.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.