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Finding the Fourth Proportional to 507.94, 699.51 and 367.72

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Solution

The fourth proportional to 507.94, 699.51 and 367.72 is: 506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.94 : 699.51 = 367.72 : x
  2. Step 2: Convert to fraction form
    507.94/699.51 = 367.72/x
  3. Step 3: Cross multiply
    507.94x = 699.51 × 367.72
  4. Step 4: Simplify right side
    507.94x = 257,223.82
  5. Step 5: Solve for x
    x = 257,223.82/507.94
  6. Step 6: Final answer
    x = 506.41

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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.