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Finding the Fourth Proportional to 293.37, 442.64 and 290.94

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Solution

The fourth proportional to 293.37, 442.64 and 290.94 is: 438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.37 : 442.64 = 290.94 : x
  2. Step 2: Convert to fraction form
    293.37/442.64 = 290.94/x
  3. Step 3: Cross multiply
    293.37x = 442.64 × 290.94
  4. Step 4: Simplify right side
    293.37x = 128,780.23
  5. Step 5: Solve for x
    x = 128,780.23/293.37
  6. Step 6: Final answer
    x = 438.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.