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Finding the Fourth Proportional to 458.86, 688.47 and 276.39

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Solution

The fourth proportional to 458.86, 688.47 and 276.39 is: 414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.86 : 688.47 = 276.39 : x
  2. Step 2: Convert to fraction form
    458.86/688.47 = 276.39/x
  3. Step 3: Cross multiply
    458.86x = 688.47 × 276.39
  4. Step 4: Simplify right side
    458.86x = 190,286.22
  5. Step 5: Solve for x
    x = 190,286.22/458.86
  6. Step 6: Final answer
    x = 414.69

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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.