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Finding the Fourth Proportional to 313.94, 433.64 and 215.52

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Solution

The fourth proportional to 313.94, 433.64 and 215.52 is: 297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.94 : 433.64 = 215.52 : x
  2. Step 2: Convert to fraction form
    313.94/433.64 = 215.52/x
  3. Step 3: Cross multiply
    313.94x = 433.64 × 215.52
  4. Step 4: Simplify right side
    313.94x = 93,458.63
  5. Step 5: Solve for x
    x = 93,458.63/313.94
  6. Step 6: Final answer
    x = 297.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.