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Finding the Fourth Proportional to 535.12, 798.16 and 518.92

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Solution

The fourth proportional to 535.12, 798.16 and 518.92 is: 774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.12 : 798.16 = 518.92 : x
  2. Step 2: Convert to fraction form
    535.12/798.16 = 518.92/x
  3. Step 3: Cross multiply
    535.12x = 798.16 × 518.92
  4. Step 4: Simplify right side
    535.12x = 414,181.19
  5. Step 5: Solve for x
    x = 414,181.19/535.12
  6. Step 6: Final answer
    x = 774.00

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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.