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Finding the Fourth Proportional to 413.65, 571.11 and 266.55

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Solution

The fourth proportional to 413.65, 571.11 and 266.55 is: 368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.65 : 571.11 = 266.55 : x
  2. Step 2: Convert to fraction form
    413.65/571.11 = 266.55/x
  3. Step 3: Cross multiply
    413.65x = 571.11 × 266.55
  4. Step 4: Simplify right side
    413.65x = 152,226.23
  5. Step 5: Solve for x
    x = 152,226.23/413.65
  6. Step 6: Final answer
    x = 368.01

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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.