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Finding the Fourth Proportional to 535.44, 797.19 and 528.96

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Solution

The fourth proportional to 535.44, 797.19 and 528.96 is: 787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.44 : 797.19 = 528.96 : x
  2. Step 2: Convert to fraction form
    535.44/797.19 = 528.96/x
  3. Step 3: Cross multiply
    535.44x = 797.19 × 528.96
  4. Step 4: Simplify right side
    535.44x = 421,681.62
  5. Step 5: Solve for x
    x = 421,681.62/535.44
  6. Step 6: Final answer
    x = 787.54

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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.