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Finding the Fourth Proportional to 318.51, 440.34 and 269.28

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Solution

The fourth proportional to 318.51, 440.34 and 269.28 is: 372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.51 : 440.34 = 269.28 : x
  2. Step 2: Convert to fraction form
    318.51/440.34 = 269.28/x
  3. Step 3: Cross multiply
    318.51x = 440.34 × 269.28
  4. Step 4: Simplify right side
    318.51x = 118,574.76
  5. Step 5: Solve for x
    x = 118,574.76/318.51
  6. Step 6: Final answer
    x = 372.28

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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.