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Finding the Fourth Proportional to 310.34, 465.69 and 257.69

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Solution

The fourth proportional to 310.34, 465.69 and 257.69 is: 386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.34 : 465.69 = 257.69 : x
  2. Step 2: Convert to fraction form
    310.34/465.69 = 257.69/x
  3. Step 3: Cross multiply
    310.34x = 465.69 × 257.69
  4. Step 4: Simplify right side
    310.34x = 120,003.66
  5. Step 5: Solve for x
    x = 120,003.66/310.34
  6. Step 6: Final answer
    x = 386.68

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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.