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Finding the Fourth Proportional to 413.69, 570.96 and 400.68

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Solution

The fourth proportional to 413.69, 570.96 and 400.68 is: 553.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.69 : 570.96 = 400.68 : x
  2. Step 2: Convert to fraction form
    413.69/570.96 = 400.68/x
  3. Step 3: Cross multiply
    413.69x = 570.96 × 400.68
  4. Step 4: Simplify right side
    413.69x = 228,772.25
  5. Step 5: Solve for x
    x = 228,772.25/413.69
  6. Step 6: Final answer
    x = 553.01

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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.