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Finding the Fourth Proportional to 535.68, 803.52 and 170.46

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Solution

The fourth proportional to 535.68, 803.52 and 170.46 is: 255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.68 : 803.52 = 170.46 : x
  2. Step 2: Convert to fraction form
    535.68/803.52 = 170.46/x
  3. Step 3: Cross multiply
    535.68x = 803.52 × 170.46
  4. Step 4: Simplify right side
    535.68x = 136,968.02
  5. Step 5: Solve for x
    x = 136,968.02/535.68
  6. Step 6: Final answer
    x = 255.69

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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.