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Finding the Fourth Proportional to 535.68, 803.44 and 330.15

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Solution

The fourth proportional to 535.68, 803.44 and 330.15 is: 495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.68 : 803.44 = 330.15 : x
  2. Step 2: Convert to fraction form
    535.68/803.44 = 330.15/x
  3. Step 3: Cross multiply
    535.68x = 803.44 × 330.15
  4. Step 4: Simplify right side
    535.68x = 265,255.72
  5. Step 5: Solve for x
    x = 265,255.72/535.68
  6. Step 6: Final answer
    x = 495.18

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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.