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Finding the Fourth Proportional to 507.29, 700.05 and 274.41

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Solution

The fourth proportional to 507.29, 700.05 and 274.41 is: 378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.29 : 700.05 = 274.41 : x
  2. Step 2: Convert to fraction form
    507.29/700.05 = 274.41/x
  3. Step 3: Cross multiply
    507.29x = 700.05 × 274.41
  4. Step 4: Simplify right side
    507.29x = 192,099.35
  5. Step 5: Solve for x
    x = 192,099.35/507.29
  6. Step 6: Final answer
    x = 378.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.