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Finding the Fourth Proportional to 465.21, 697.82 and 259.47

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Solution

The fourth proportional to 465.21, 697.82 and 259.47 is: 389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.21 : 697.82 = 259.47 : x
  2. Step 2: Convert to fraction form
    465.21/697.82 = 259.47/x
  3. Step 3: Cross multiply
    465.21x = 697.82 × 259.47
  4. Step 4: Simplify right side
    465.21x = 181,062.06
  5. Step 5: Solve for x
    x = 181,062.06/465.21
  6. Step 6: Final answer
    x = 389.21

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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.