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Finding the Fourth Proportional to 369.34, 509.94 and 285.16

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Solution

The fourth proportional to 369.34, 509.94 and 285.16 is: 393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.34 : 509.94 = 285.16 : x
  2. Step 2: Convert to fraction form
    369.34/509.94 = 285.16/x
  3. Step 3: Cross multiply
    369.34x = 509.94 × 285.16
  4. Step 4: Simplify right side
    369.34x = 145,413.06
  5. Step 5: Solve for x
    x = 145,413.06/369.34
  6. Step 6: Final answer
    x = 393.71

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