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Finding the Fourth Proportional to 465.57, 697.05 and 350.55

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Solution

The fourth proportional to 465.57, 697.05 and 350.55 is: 524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.57 : 697.05 = 350.55 : x
  2. Step 2: Convert to fraction form
    465.57/697.05 = 350.55/x
  3. Step 3: Cross multiply
    465.57x = 697.05 × 350.55
  4. Step 4: Simplify right side
    465.57x = 244,350.88
  5. Step 5: Solve for x
    x = 244,350.88/465.57
  6. Step 6: Final answer
    x = 524.84

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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.