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Finding the Fourth Proportional to 575.94, 864.36 and 251.53

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Solution

The fourth proportional to 575.94, 864.36 and 251.53 is: 377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.94 : 864.36 = 251.53 : x
  2. Step 2: Convert to fraction form
    575.94/864.36 = 251.53/x
  3. Step 3: Cross multiply
    575.94x = 864.36 × 251.53
  4. Step 4: Simplify right side
    575.94x = 217,413.55
  5. Step 5: Solve for x
    x = 217,413.55/575.94
  6. Step 6: Final answer
    x = 377.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.