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Finding the Fourth Proportional to 503.79, 755.81 and 215.25

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Solution

The fourth proportional to 503.79, 755.81 and 215.25 is: 322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.79 : 755.81 = 215.25 : x
  2. Step 2: Convert to fraction form
    503.79/755.81 = 215.25/x
  3. Step 3: Cross multiply
    503.79x = 755.81 × 215.25
  4. Step 4: Simplify right side
    503.79x = 162,687.03
  5. Step 5: Solve for x
    x = 162,687.03/503.79
  6. Step 6: Final answer
    x = 322.93

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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.