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Finding the Fourth Proportional to 369.06, 512.88 and 364.50

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Solution

The fourth proportional to 369.06, 512.88 and 364.50 is: 506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.06 : 512.88 = 364.50 : x
  2. Step 2: Convert to fraction form
    369.06/512.88 = 364.50/x
  3. Step 3: Cross multiply
    369.06x = 512.88 × 364.50
  4. Step 4: Simplify right side
    369.06x = 186,944.76
  5. Step 5: Solve for x
    x = 186,944.76/369.06
  6. Step 6: Final answer
    x = 506.54

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.