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Finding the Fourth Proportional to 293.14, 438.75 and 261.14

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Solution

The fourth proportional to 293.14, 438.75 and 261.14 is: 390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.14 : 438.75 = 261.14 : x
  2. Step 2: Convert to fraction form
    293.14/438.75 = 261.14/x
  3. Step 3: Cross multiply
    293.14x = 438.75 × 261.14
  4. Step 4: Simplify right side
    293.14x = 114,575.18
  5. Step 5: Solve for x
    x = 114,575.18/293.14
  6. Step 6: Final answer
    x = 390.85

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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.