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Finding the Fourth Proportional to 455.42, 628.28 and 298.09

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Solution

The fourth proportional to 455.42, 628.28 and 298.09 is: 411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.42 : 628.28 = 298.09 : x
  2. Step 2: Convert to fraction form
    455.42/628.28 = 298.09/x
  3. Step 3: Cross multiply
    455.42x = 628.28 × 298.09
  4. Step 4: Simplify right side
    455.42x = 187,281.59
  5. Step 5: Solve for x
    x = 187,281.59/455.42
  6. Step 6: Final answer
    x = 411.23

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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.