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Finding the Fourth Proportional to 507.62, 762.60 and 400.70

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Solution

The fourth proportional to 507.62, 762.60 and 400.70 is: 601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.62 : 762.60 = 400.70 : x
  2. Step 2: Convert to fraction form
    507.62/762.60 = 400.70/x
  3. Step 3: Cross multiply
    507.62x = 762.60 × 400.70
  4. Step 4: Simplify right side
    507.62x = 305,573.82
  5. Step 5: Solve for x
    x = 305,573.82/507.62
  6. Step 6: Final answer
    x = 601.97

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