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Finding the Fourth Proportional to 507.52, 699.65 and 360.10

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Solution

The fourth proportional to 507.52, 699.65 and 360.10 is: 496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.52 : 699.65 = 360.10 : x
  2. Step 2: Convert to fraction form
    507.52/699.65 = 360.10/x
  3. Step 3: Cross multiply
    507.52x = 699.65 × 360.10
  4. Step 4: Simplify right side
    507.52x = 251,940.47
  5. Step 5: Solve for x
    x = 251,940.47/507.52
  6. Step 6: Final answer
    x = 496.42

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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.