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Finding the Fourth Proportional to 507.77, 700.73 and 274.90

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Solution

The fourth proportional to 507.77, 700.73 and 274.90 is: 379.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.77 : 700.73 = 274.90 : x
  2. Step 2: Convert to fraction form
    507.77/700.73 = 274.90/x
  3. Step 3: Cross multiply
    507.77x = 700.73 × 274.90
  4. Step 4: Simplify right side
    507.77x = 192,627.55
  5. Step 5: Solve for x
    x = 192,627.55/507.77
  6. Step 6: Final answer
    x = 379.36

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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.