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Finding the Fourth Proportional to 359.42, 495.77 and 228.51

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Solution

The fourth proportional to 359.42, 495.77 and 228.51 is: 315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.42 : 495.77 = 228.51 : x
  2. Step 2: Convert to fraction form
    359.42/495.77 = 228.51/x
  3. Step 3: Cross multiply
    359.42x = 495.77 × 228.51
  4. Step 4: Simplify right side
    359.42x = 113,287.26
  5. Step 5: Solve for x
    x = 113,287.26/359.42
  6. Step 6: Final answer
    x = 315.20

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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.