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Finding the Fourth Proportional to 458.96, 689.28 and 276.74

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Solution

The fourth proportional to 458.96, 689.28 and 276.74 is: 415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.96 : 689.28 = 276.74 : x
  2. Step 2: Convert to fraction form
    458.96/689.28 = 276.74/x
  3. Step 3: Cross multiply
    458.96x = 689.28 × 276.74
  4. Step 4: Simplify right side
    458.96x = 190,751.35
  5. Step 5: Solve for x
    x = 190,751.35/458.96
  6. Step 6: Final answer
    x = 415.62

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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.