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Finding the Fourth Proportional to 507.35, 700.14 and 274.47

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Solution

The fourth proportional to 507.35, 700.14 and 274.47 is: 378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.35 : 700.14 = 274.47 : x
  2. Step 2: Convert to fraction form
    507.35/700.14 = 274.47/x
  3. Step 3: Cross multiply
    507.35x = 700.14 × 274.47
  4. Step 4: Simplify right side
    507.35x = 192,166.05
  5. Step 5: Solve for x
    x = 192,166.05/507.35
  6. Step 6: Final answer
    x = 378.77

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