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Finding the Fourth Proportional to 507.42, 699.12 and 359.82

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Solution

The fourth proportional to 507.42, 699.12 and 359.82 is: 495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.42 : 699.12 = 359.82 : x
  2. Step 2: Convert to fraction form
    507.42/699.12 = 359.82/x
  3. Step 3: Cross multiply
    507.42x = 699.12 × 359.82
  4. Step 4: Simplify right side
    507.42x = 251,557.36
  5. Step 5: Solve for x
    x = 251,557.36/507.42
  6. Step 6: Final answer
    x = 495.76

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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.