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Finding the Fourth Proportional to 507.25, 760.26 and 214.64

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Solution

The fourth proportional to 507.25, 760.26 and 214.64 is: 321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.25 : 760.26 = 214.64 : x
  2. Step 2: Convert to fraction form
    507.25/760.26 = 214.64/x
  3. Step 3: Cross multiply
    507.25x = 760.26 × 214.64
  4. Step 4: Simplify right side
    507.25x = 163,177.60
  5. Step 5: Solve for x
    x = 163,177.60/507.25
  6. Step 6: Final answer
    x = 321.69

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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.