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Finding the Fourth Proportional to 465.83, 696.91 and 350.55

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Solution

The fourth proportional to 465.83, 696.91 and 350.55 is: 524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.83 : 696.91 = 350.55 : x
  2. Step 2: Convert to fraction form
    465.83/696.91 = 350.55/x
  3. Step 3: Cross multiply
    465.83x = 696.91 × 350.55
  4. Step 4: Simplify right side
    465.83x = 244,301.80
  5. Step 5: Solve for x
    x = 244,301.80/465.83
  6. Step 6: Final answer
    x = 524.44

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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.