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Finding the Fourth Proportional to 413.70, 570.15 and 401.85

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Solution

The fourth proportional to 413.70, 570.15 and 401.85 is: 553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.70 : 570.15 = 401.85 : x
  2. Step 2: Convert to fraction form
    413.70/570.15 = 401.85/x
  3. Step 3: Cross multiply
    413.70x = 570.15 × 401.85
  4. Step 4: Simplify right side
    413.70x = 229,114.78
  5. Step 5: Solve for x
    x = 229,114.78/413.70
  6. Step 6: Final answer
    x = 553.82

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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.