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Finding the Fourth Proportional to 456.58, 684.51 and 251.25

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Solution

The fourth proportional to 456.58, 684.51 and 251.25 is: 376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.58 : 684.51 = 251.25 : x
  2. Step 2: Convert to fraction form
    456.58/684.51 = 251.25/x
  3. Step 3: Cross multiply
    456.58x = 684.51 × 251.25
  4. Step 4: Simplify right side
    456.58x = 171,983.14
  5. Step 5: Solve for x
    x = 171,983.14/456.58
  6. Step 6: Final answer
    x = 376.68

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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.