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Finding the Fourth Proportional to 508.60, 701.81 and 287.51

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Solution

The fourth proportional to 508.60, 701.81 and 287.51 is: 396.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.60 : 701.81 = 287.51 : x
  2. Step 2: Convert to fraction form
    508.60/701.81 = 287.51/x
  3. Step 3: Cross multiply
    508.60x = 701.81 × 287.51
  4. Step 4: Simplify right side
    508.60x = 201,773.88
  5. Step 5: Solve for x
    x = 201,773.88/508.60
  6. Step 6: Final answer
    x = 396.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.