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Finding the Fourth Proportional to 535.73, 799.14 and 527.23

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Solution

The fourth proportional to 535.73, 799.14 and 527.23 is: 786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.73 : 799.14 = 527.23 : x
  2. Step 2: Convert to fraction form
    535.73/799.14 = 527.23/x
  3. Step 3: Cross multiply
    535.73x = 799.14 × 527.23
  4. Step 4: Simplify right side
    535.73x = 421,330.58
  5. Step 5: Solve for x
    x = 421,330.58/535.73
  6. Step 6: Final answer
    x = 786.46

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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.