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Finding the Fourth Proportional to 293.96, 438.70 and 261.56

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Solution

The fourth proportional to 293.96, 438.70 and 261.56 is: 390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.96 : 438.70 = 261.56 : x
  2. Step 2: Convert to fraction form
    293.96/438.70 = 261.56/x
  3. Step 3: Cross multiply
    293.96x = 438.70 × 261.56
  4. Step 4: Simplify right side
    293.96x = 114,746.37
  5. Step 5: Solve for x
    x = 114,746.37/293.96
  6. Step 6: Final answer
    x = 390.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.