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Finding the Fourth Proportional to 508.50, 701.78 and 287.46

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Solution

The fourth proportional to 508.50, 701.78 and 287.46 is: 396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.50 : 701.78 = 287.46 : x
  2. Step 2: Convert to fraction form
    508.50/701.78 = 287.46/x
  3. Step 3: Cross multiply
    508.50x = 701.78 × 287.46
  4. Step 4: Simplify right side
    508.50x = 201,732.24
  5. Step 5: Solve for x
    x = 201,732.24/508.50
  6. Step 6: Final answer
    x = 396.72

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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.