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Finding the Fourth Proportional to 535.87, 803.81 and 292.60

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Solution

The fourth proportional to 535.87, 803.81 and 292.60 is: 438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.87 : 803.81 = 292.60 : x
  2. Step 2: Convert to fraction form
    535.87/803.81 = 292.60/x
  3. Step 3: Cross multiply
    535.87x = 803.81 × 292.60
  4. Step 4: Simplify right side
    535.87x = 235,194.81
  5. Step 5: Solve for x
    x = 235,194.81/535.87
  6. Step 6: Final answer
    x = 438.90

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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.