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Finding the Fourth Proportional to 550.36, 825.84 and 507.23

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Solution

The fourth proportional to 550.36, 825.84 and 507.23 is: 761.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.36 : 825.84 = 507.23 : x
  2. Step 2: Convert to fraction form
    550.36/825.84 = 507.23/x
  3. Step 3: Cross multiply
    550.36x = 825.84 × 507.23
  4. Step 4: Simplify right side
    550.36x = 418,890.82
  5. Step 5: Solve for x
    x = 418,890.82/550.36
  6. Step 6: Final answer
    x = 761.12

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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.