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Finding the Fourth Proportional to 456.66, 683.58 and 263.70

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Solution

The fourth proportional to 456.66, 683.58 and 263.70 is: 394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.66 : 683.58 = 263.70 : x
  2. Step 2: Convert to fraction form
    456.66/683.58 = 263.70/x
  3. Step 3: Cross multiply
    456.66x = 683.58 × 263.70
  4. Step 4: Simplify right side
    456.66x = 180,260.05
  5. Step 5: Solve for x
    x = 180,260.05/456.66
  6. Step 6: Final answer
    x = 394.74

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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.