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Finding the Fourth Proportional to 558.24, 832.44 and 519.28

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Solution

The fourth proportional to 558.24, 832.44 and 519.28 is: 774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.24 : 832.44 = 519.28 : x
  2. Step 2: Convert to fraction form
    558.24/832.44 = 519.28/x
  3. Step 3: Cross multiply
    558.24x = 832.44 × 519.28
  4. Step 4: Simplify right side
    558.24x = 432,264.93
  5. Step 5: Solve for x
    x = 432,264.93/558.24
  6. Step 6: Final answer
    x = 774.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.