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Finding the Fourth Proportional to 413.42, 570.60 and 256.28

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Solution

The fourth proportional to 413.42, 570.60 and 256.28 is: 353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.42 : 570.60 = 256.28 : x
  2. Step 2: Convert to fraction form
    413.42/570.60 = 256.28/x
  3. Step 3: Cross multiply
    413.42x = 570.60 × 256.28
  4. Step 4: Simplify right side
    413.42x = 146,230.52
  5. Step 5: Solve for x
    x = 146,230.52/413.42
  6. Step 6: Final answer
    x = 353.71

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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.