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Finding the Fourth Proportional to 456.18, 683.40 and 374.36

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Solution

The fourth proportional to 456.18, 683.40 and 374.36 is: 560.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.18 : 683.40 = 374.36 : x
  2. Step 2: Convert to fraction form
    456.18/683.40 = 374.36/x
  3. Step 3: Cross multiply
    456.18x = 683.40 × 374.36
  4. Step 4: Simplify right side
    456.18x = 255,837.62
  5. Step 5: Solve for x
    x = 255,837.62/456.18
  6. Step 6: Final answer
    x = 560.83

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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.