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Finding the Fourth Proportional to 312.24, 465.60 and 309.51

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Solution

The fourth proportional to 312.24, 465.60 and 309.51 is: 461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.24 : 465.60 = 309.51 : x
  2. Step 2: Convert to fraction form
    312.24/465.60 = 309.51/x
  3. Step 3: Cross multiply
    312.24x = 465.60 × 309.51
  4. Step 4: Simplify right side
    312.24x = 144,107.86
  5. Step 5: Solve for x
    x = 144,107.86/312.24
  6. Step 6: Final answer
    x = 461.53

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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.