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Finding the Fourth Proportional to 413.94, 571.32 and 315.52

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Solution

The fourth proportional to 413.94, 571.32 and 315.52 is: 435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.94 : 571.32 = 315.52 : x
  2. Step 2: Convert to fraction form
    413.94/571.32 = 315.52/x
  3. Step 3: Cross multiply
    413.94x = 571.32 × 315.52
  4. Step 4: Simplify right side
    413.94x = 180,262.89
  5. Step 5: Solve for x
    x = 180,262.89/413.94
  6. Step 6: Final answer
    x = 435.48

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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.