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Finding the Fourth Proportional to 417.24, 622.28 and 395.37

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Solution

The fourth proportional to 417.24, 622.28 and 395.37 is: 589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.24 : 622.28 = 395.37 : x
  2. Step 2: Convert to fraction form
    417.24/622.28 = 395.37/x
  3. Step 3: Cross multiply
    417.24x = 622.28 × 395.37
  4. Step 4: Simplify right side
    417.24x = 246,030.84
  5. Step 5: Solve for x
    x = 246,030.84/417.24
  6. Step 6: Final answer
    x = 589.66

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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.