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Finding the Fourth Proportional to 507.25, 761.01 and 250.75

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Solution

The fourth proportional to 507.25, 761.01 and 250.75 is: 376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.25 : 761.01 = 250.75 : x
  2. Step 2: Convert to fraction form
    507.25/761.01 = 250.75/x
  3. Step 3: Cross multiply
    507.25x = 761.01 × 250.75
  4. Step 4: Simplify right side
    507.25x = 190,823.26
  5. Step 5: Solve for x
    x = 190,823.26/507.25
  6. Step 6: Final answer
    x = 376.19

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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.