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Finding the Fourth Proportional to 413.43, 570.49 and 256.02

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Solution

The fourth proportional to 413.43, 570.49 and 256.02 is: 353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.43 : 570.49 = 256.02 : x
  2. Step 2: Convert to fraction form
    413.43/570.49 = 256.02/x
  3. Step 3: Cross multiply
    413.43x = 570.49 × 256.02
  4. Step 4: Simplify right side
    413.43x = 146,056.85
  5. Step 5: Solve for x
    x = 146,056.85/413.43
  6. Step 6: Final answer
    x = 353.28

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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.