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Finding the Fourth Proportional to 312, 465.23 and 309.21

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Solution

The fourth proportional to 312, 465.23 and 309.21 is: 461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312 : 465.23 = 309.21 : x
  2. Step 2: Convert to fraction form
    312/465.23 = 309.21/x
  3. Step 3: Cross multiply
    312x = 465.23 × 309.21
  4. Step 4: Simplify right side
    312x = 143,853.77
  5. Step 5: Solve for x
    x = 143,853.77/312
  6. Step 6: Final answer
    x = 461.07

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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.