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Finding the Fourth Proportional to 535.37, 801.03 and 467.78

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Solution

The fourth proportional to 535.37, 801.03 and 467.78 is: 699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.37 : 801.03 = 467.78 : x
  2. Step 2: Convert to fraction form
    535.37/801.03 = 467.78/x
  3. Step 3: Cross multiply
    535.37x = 801.03 × 467.78
  4. Step 4: Simplify right side
    535.37x = 374,705.81
  5. Step 5: Solve for x
    x = 374,705.81/535.37
  6. Step 6: Final answer
    x = 699.90

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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.