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Finding the Fourth Proportional to 313.54, 469.70 and 231.13

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Solution

The fourth proportional to 313.54, 469.70 and 231.13 is: 346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.54 : 469.70 = 231.13 : x
  2. Step 2: Convert to fraction form
    313.54/469.70 = 231.13/x
  3. Step 3: Cross multiply
    313.54x = 469.70 × 231.13
  4. Step 4: Simplify right side
    313.54x = 108,561.76
  5. Step 5: Solve for x
    x = 108,561.76/313.54
  6. Step 6: Final answer
    x = 346.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.