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Finding the Fourth Proportional to 359.15, 495.36 and 228.04

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Solution

The fourth proportional to 359.15, 495.36 and 228.04 is: 314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.15 : 495.36 = 228.04 : x
  2. Step 2: Convert to fraction form
    359.15/495.36 = 228.04/x
  3. Step 3: Cross multiply
    359.15x = 495.36 × 228.04
  4. Step 4: Simplify right side
    359.15x = 112,961.89
  5. Step 5: Solve for x
    x = 112,961.89/359.15
  6. Step 6: Final answer
    x = 314.53

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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.