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Finding the Fourth Proportional to 360.87, 497.74 and 250.30

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Solution

The fourth proportional to 360.87, 497.74 and 250.30 is: 345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.87 : 497.74 = 250.30 : x
  2. Step 2: Convert to fraction form
    360.87/497.74 = 250.30/x
  3. Step 3: Cross multiply
    360.87x = 497.74 × 250.30
  4. Step 4: Simplify right side
    360.87x = 124,584.32
  5. Step 5: Solve for x
    x = 124,584.32/360.87
  6. Step 6: Final answer
    x = 345.23

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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.