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Finding the Fourth Proportional to 312.37, 469.29 and 293.94

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Solution

The fourth proportional to 312.37, 469.29 and 293.94 is: 441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.37 : 469.29 = 293.94 : x
  2. Step 2: Convert to fraction form
    312.37/469.29 = 293.94/x
  3. Step 3: Cross multiply
    312.37x = 469.29 × 293.94
  4. Step 4: Simplify right side
    312.37x = 137,943.10
  5. Step 5: Solve for x
    x = 137,943.10/312.37
  6. Step 6: Final answer
    x = 441.60

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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.