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Finding the Fourth Proportional to 456.18, 683.16 and 448.26

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Solution

The fourth proportional to 456.18, 683.16 and 448.26 is: 671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.18 : 683.16 = 448.26 : x
  2. Step 2: Convert to fraction form
    456.18/683.16 = 448.26/x
  3. Step 3: Cross multiply
    456.18x = 683.16 × 448.26
  4. Step 4: Simplify right side
    456.18x = 306,233.30
  5. Step 5: Solve for x
    x = 306,233.30/456.18
  6. Step 6: Final answer
    x = 671.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.