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Finding the Fourth Proportional to 507.78, 762.60 and 464.94

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Solution

The fourth proportional to 507.78, 762.60 and 464.94 is: 698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.78 : 762.60 = 464.94 : x
  2. Step 2: Convert to fraction form
    507.78/762.60 = 464.94/x
  3. Step 3: Cross multiply
    507.78x = 762.60 × 464.94
  4. Step 4: Simplify right side
    507.78x = 354,563.24
  5. Step 5: Solve for x
    x = 354,563.24/507.78
  6. Step 6: Final answer
    x = 698.26

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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.