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Finding the Fourth Proportional to 313.16, 431.88 and 269.48

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Solution

The fourth proportional to 313.16, 431.88 and 269.48 is: 371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.16 : 431.88 = 269.48 : x
  2. Step 2: Convert to fraction form
    313.16/431.88 = 269.48/x
  3. Step 3: Cross multiply
    313.16x = 431.88 × 269.48
  4. Step 4: Simplify right side
    313.16x = 116,383.02
  5. Step 5: Solve for x
    x = 116,383.02/313.16
  6. Step 6: Final answer
    x = 371.64

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Why These Related Problems?

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