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Finding the Fourth Proportional to 508.33, 701.52 and 287.27

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Solution

The fourth proportional to 508.33, 701.52 and 287.27 is: 396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.33 : 701.52 = 287.27 : x
  2. Step 2: Convert to fraction form
    508.33/701.52 = 287.27/x
  3. Step 3: Cross multiply
    508.33x = 701.52 × 287.27
  4. Step 4: Simplify right side
    508.33x = 201,525.65
  5. Step 5: Solve for x
    x = 201,525.65/508.33
  6. Step 6: Final answer
    x = 396.45

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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.