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Finding the Fourth Proportional to 507.43, 760.82 and 214.78

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Solution

The fourth proportional to 507.43, 760.82 and 214.78 is: 322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.43 : 760.82 = 214.78 : x
  2. Step 2: Convert to fraction form
    507.43/760.82 = 214.78/x
  3. Step 3: Cross multiply
    507.43x = 760.82 × 214.78
  4. Step 4: Simplify right side
    507.43x = 163,407.55
  5. Step 5: Solve for x
    x = 163,407.55/507.43
  6. Step 6: Final answer
    x = 322.03

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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.