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Finding the Fourth Proportional to 465.50, 696.16 and 355.86

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Solution

The fourth proportional to 465.50, 696.16 and 355.86 is: 532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.50 : 696.16 = 355.86 : x
  2. Step 2: Convert to fraction form
    465.50/696.16 = 355.86/x
  3. Step 3: Cross multiply
    465.50x = 696.16 × 355.86
  4. Step 4: Simplify right side
    465.50x = 247,735.50
  5. Step 5: Solve for x
    x = 247,735.50/465.50
  6. Step 6: Final answer
    x = 532.19

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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.