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Finding the Fourth Proportional to 413.66, 570.54 and 266.18

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Solution

The fourth proportional to 413.66, 570.54 and 266.18 is: 367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.66 : 570.54 = 266.18 : x
  2. Step 2: Convert to fraction form
    413.66/570.54 = 266.18/x
  3. Step 3: Cross multiply
    413.66x = 570.54 × 266.18
  4. Step 4: Simplify right side
    413.66x = 151,866.34
  5. Step 5: Solve for x
    x = 151,866.34/413.66
  6. Step 6: Final answer
    x = 367.13

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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.