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Finding the Fourth Proportional to 635.23, 953.39 and 507.79

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Solution

The fourth proportional to 635.23, 953.39 and 507.79 is: 762.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.23 : 953.39 = 507.79 : x
  2. Step 2: Convert to fraction form
    635.23/953.39 = 507.79/x
  3. Step 3: Cross multiply
    635.23x = 953.39 × 507.79
  4. Step 4: Simplify right side
    635.23x = 484,121.91
  5. Step 5: Solve for x
    x = 484,121.91/635.23
  6. Step 6: Final answer
    x = 762.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.