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Finding the Fourth Proportional to 506.51, 698.99 and 320.33

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Solution

The fourth proportional to 506.51, 698.99 and 320.33 is: 442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.51 : 698.99 = 320.33 : x
  2. Step 2: Convert to fraction form
    506.51/698.99 = 320.33/x
  3. Step 3: Cross multiply
    506.51x = 698.99 × 320.33
  4. Step 4: Simplify right side
    506.51x = 223,905.87
  5. Step 5: Solve for x
    x = 223,905.87/506.51
  6. Step 6: Final answer
    x = 442.06

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Why These Related Problems?

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