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Finding the Fourth Proportional to 413.42, 570.03 and 266.06

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Solution

The fourth proportional to 413.42, 570.03 and 266.06 is: 366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.42 : 570.03 = 266.06 : x
  2. Step 2: Convert to fraction form
    413.42/570.03 = 266.06/x
  3. Step 3: Cross multiply
    413.42x = 570.03 × 266.06
  4. Step 4: Simplify right side
    413.42x = 151,662.18
  5. Step 5: Solve for x
    x = 151,662.18/413.42
  6. Step 6: Final answer
    x = 366.85

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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.