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Finding the Fourth Proportional to 456.71, 628.17 and 396.65

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Solution

The fourth proportional to 456.71, 628.17 and 396.65 is: 545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.71 : 628.17 = 396.65 : x
  2. Step 2: Convert to fraction form
    456.71/628.17 = 396.65/x
  3. Step 3: Cross multiply
    456.71x = 628.17 × 396.65
  4. Step 4: Simplify right side
    456.71x = 249,163.63
  5. Step 5: Solve for x
    x = 249,163.63/456.71
  6. Step 6: Final answer
    x = 545.56

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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.