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Finding the Fourth Proportional to 342.44, 514.74 and 288.44

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Solution

The fourth proportional to 342.44, 514.74 and 288.44 is: 433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.44 : 514.74 = 288.44 : x
  2. Step 2: Convert to fraction form
    342.44/514.74 = 288.44/x
  3. Step 3: Cross multiply
    342.44x = 514.74 × 288.44
  4. Step 4: Simplify right side
    342.44x = 148,471.61
  5. Step 5: Solve for x
    x = 148,471.61/342.44
  6. Step 6: Final answer
    x = 433.57

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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.