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Finding the Fourth Proportional to 535.96, 803.34 and 292.66

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Solution

The fourth proportional to 535.96, 803.34 and 292.66 is: 438.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.96 : 803.34 = 292.66 : x
  2. Step 2: Convert to fraction form
    535.96/803.34 = 292.66/x
  3. Step 3: Cross multiply
    535.96x = 803.34 × 292.66
  4. Step 4: Simplify right side
    535.96x = 235,105.48
  5. Step 5: Solve for x
    x = 235,105.48/535.96
  6. Step 6: Final answer
    x = 438.66

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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.