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Finding the Fourth Proportional to 413.66, 570.65 and 289.27

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Solution

The fourth proportional to 413.66, 570.65 and 289.27 is: 399.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.66 : 570.65 = 289.27 : x
  2. Step 2: Convert to fraction form
    413.66/570.65 = 289.27/x
  3. Step 3: Cross multiply
    413.66x = 570.65 × 289.27
  4. Step 4: Simplify right side
    413.66x = 165,071.19
  5. Step 5: Solve for x
    x = 165,071.19/413.66
  6. Step 6: Final answer
    x = 399.05

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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.