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Finding the Fourth Proportional to 506.43, 699.03 and 309.93

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Solution

The fourth proportional to 506.43, 699.03 and 309.93 is: 427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.43 : 699.03 = 309.93 : x
  2. Step 2: Convert to fraction form
    506.43/699.03 = 309.93/x
  3. Step 3: Cross multiply
    506.43x = 699.03 × 309.93
  4. Step 4: Simplify right side
    506.43x = 216,650.37
  5. Step 5: Solve for x
    x = 216,650.37/506.43
  6. Step 6: Final answer
    x = 427.80

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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.