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Finding the Fourth Proportional to 417.42, 622.50 and 370.80

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Solution

The fourth proportional to 417.42, 622.50 and 370.80 is: 552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.42 : 622.50 = 370.80 : x
  2. Step 2: Convert to fraction form
    417.42/622.50 = 370.80/x
  3. Step 3: Cross multiply
    417.42x = 622.50 × 370.80
  4. Step 4: Simplify right side
    417.42x = 230,821.15
  5. Step 5: Solve for x
    x = 230,821.15/417.42
  6. Step 6: Final answer
    x = 552.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.