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Finding the Fourth Proportional to 518.12, 775.37 and 424.49

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Solution

The fourth proportional to 518.12, 775.37 and 424.49 is: 635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.12 : 775.37 = 424.49 : x
  2. Step 2: Convert to fraction form
    518.12/775.37 = 424.49/x
  3. Step 3: Cross multiply
    518.12x = 775.37 × 424.49
  4. Step 4: Simplify right side
    518.12x = 329,130.81
  5. Step 5: Solve for x
    x = 329,130.81/518.12
  6. Step 6: Final answer
    x = 635.25

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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.