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Finding the Fourth Proportional to 535.35, 801.46 and 399

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Solution

The fourth proportional to 535.35, 801.46 and 399 is: 597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.35 : 801.46 = 399 : x
  2. Step 2: Convert to fraction form
    535.35/801.46 = 399/x
  3. Step 3: Cross multiply
    535.35x = 801.46 × 399
  4. Step 4: Simplify right side
    535.35x = 319,782.54
  5. Step 5: Solve for x
    x = 319,782.54/535.35
  6. Step 6: Final answer
    x = 597.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.