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Finding the Fourth Proportional to 413.67, 570.73 and 295.67

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Solution

The fourth proportional to 413.67, 570.73 and 295.67 is: 407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.67 : 570.73 = 295.67 : x
  2. Step 2: Convert to fraction form
    413.67/570.73 = 295.67/x
  3. Step 3: Cross multiply
    413.67x = 570.73 × 295.67
  4. Step 4: Simplify right side
    413.67x = 168,747.74
  5. Step 5: Solve for x
    x = 168,747.74/413.67
  6. Step 6: Final answer
    x = 407.93

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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.