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Finding the Fourth Proportional to 313.09, 430.98 and 301.75

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Solution

The fourth proportional to 313.09, 430.98 and 301.75 is: 415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.09 : 430.98 = 301.75 : x
  2. Step 2: Convert to fraction form
    313.09/430.98 = 301.75/x
  3. Step 3: Cross multiply
    313.09x = 430.98 × 301.75
  4. Step 4: Simplify right side
    313.09x = 130,048.22
  5. Step 5: Solve for x
    x = 130,048.22/313.09
  6. Step 6: Final answer
    x = 415.37

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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.