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Finding the Fourth Proportional to 507.09, 760.10 and 214.53

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Solution

The fourth proportional to 507.09, 760.10 and 214.53 is: 321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.09 : 760.10 = 214.53 : x
  2. Step 2: Convert to fraction form
    507.09/760.10 = 214.53/x
  3. Step 3: Cross multiply
    507.09x = 760.10 × 214.53
  4. Step 4: Simplify right side
    507.09x = 163,060.33
  5. Step 5: Solve for x
    x = 163,060.33/507.09
  6. Step 6: Final answer
    x = 321.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.