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Finding the Fourth Proportional to 368.82, 509.07 and 228.86

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Solution

The fourth proportional to 368.82, 509.07 and 228.86 is: 315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.82 : 509.07 = 228.86 : x
  2. Step 2: Convert to fraction form
    368.82/509.07 = 228.86/x
  3. Step 3: Cross multiply
    368.82x = 509.07 × 228.86
  4. Step 4: Simplify right side
    368.82x = 116,505.76
  5. Step 5: Solve for x
    x = 116,505.76/368.82
  6. Step 6: Final answer
    x = 315.89

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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.