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Finding the Fourth Proportional to 312.26, 465.14 and 305.17

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Solution

The fourth proportional to 312.26, 465.14 and 305.17 is: 454.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.26 : 465.14 = 305.17 : x
  2. Step 2: Convert to fraction form
    312.26/465.14 = 305.17/x
  3. Step 3: Cross multiply
    312.26x = 465.14 × 305.17
  4. Step 4: Simplify right side
    312.26x = 141,946.37
  5. Step 5: Solve for x
    x = 141,946.37/312.26
  6. Step 6: Final answer
    x = 454.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.