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Finding the Fourth Proportional to 465.31, 697.77 and 208.63

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Solution

The fourth proportional to 465.31, 697.77 and 208.63 is: 312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.31 : 697.77 = 208.63 : x
  2. Step 2: Convert to fraction form
    465.31/697.77 = 208.63/x
  3. Step 3: Cross multiply
    465.31x = 697.77 × 208.63
  4. Step 4: Simplify right side
    465.31x = 145,575.76
  5. Step 5: Solve for x
    x = 145,575.76/465.31
  6. Step 6: Final answer
    x = 312.86

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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.