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Finding the Fourth Proportional to 610.48, 919.91 and 504.64

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Solution

The fourth proportional to 610.48, 919.91 and 504.64 is: 760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.48 : 919.91 = 504.64 : x
  2. Step 2: Convert to fraction form
    610.48/919.91 = 504.64/x
  3. Step 3: Cross multiply
    610.48x = 919.91 × 504.64
  4. Step 4: Simplify right side
    610.48x = 464,223.38
  5. Step 5: Solve for x
    x = 464,223.38/610.48
  6. Step 6: Final answer
    x = 760.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.