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Finding the Fourth Proportional to 465.35, 696.80 and 259.10

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Solution

The fourth proportional to 465.35, 696.80 and 259.10 is: 387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.35 : 696.80 = 259.10 : x
  2. Step 2: Convert to fraction form
    465.35/696.80 = 259.10/x
  3. Step 3: Cross multiply
    465.35x = 696.80 × 259.10
  4. Step 4: Simplify right side
    465.35x = 180,540.66
  5. Step 5: Solve for x
    x = 180,540.66/465.35
  6. Step 6: Final answer
    x = 387.97

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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.