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Finding the Fourth Proportional to 418.24, 575.76 and 359.68

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Solution

The fourth proportional to 418.24, 575.76 and 359.68 is: 495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.24 : 575.76 = 359.68 : x
  2. Step 2: Convert to fraction form
    418.24/575.76 = 359.68/x
  3. Step 3: Cross multiply
    418.24x = 575.76 × 359.68
  4. Step 4: Simplify right side
    418.24x = 207,089.36
  5. Step 5: Solve for x
    x = 207,089.36/418.24
  6. Step 6: Final answer
    x = 495.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.