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Finding the Fourth Proportional to 293.40, 438.78 and 261.09

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Solution

The fourth proportional to 293.40, 438.78 and 261.09 is: 390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.40 : 438.78 = 261.09 : x
  2. Step 2: Convert to fraction form
    293.40/438.78 = 261.09/x
  3. Step 3: Cross multiply
    293.40x = 438.78 × 261.09
  4. Step 4: Simplify right side
    293.40x = 114,561.07
  5. Step 5: Solve for x
    x = 114,561.07/293.40
  6. Step 6: Final answer
    x = 390.46

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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.