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Finding the Fourth Proportional to 503.48, 754.62 and 214.64

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Solution

The fourth proportional to 503.48, 754.62 and 214.64 is: 321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.48 : 754.62 = 214.64 : x
  2. Step 2: Convert to fraction form
    503.48/754.62 = 214.64/x
  3. Step 3: Cross multiply
    503.48x = 754.62 × 214.64
  4. Step 4: Simplify right side
    503.48x = 161,971.64
  5. Step 5: Solve for x
    x = 161,971.64/503.48
  6. Step 6: Final answer
    x = 321.70

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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.