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Finding the Fourth Proportional to 387.09, 534.42 and 293.84

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Solution

The fourth proportional to 387.09, 534.42 and 293.84 is: 405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.09 : 534.42 = 293.84 : x
  2. Step 2: Convert to fraction form
    387.09/534.42 = 293.84/x
  3. Step 3: Cross multiply
    387.09x = 534.42 × 293.84
  4. Step 4: Simplify right side
    387.09x = 157,029.83
  5. Step 5: Solve for x
    x = 157,029.83/387.09
  6. Step 6: Final answer
    x = 405.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.