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Finding the Fourth Proportional to 413.83, 571.15 and 256.49

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Solution

The fourth proportional to 413.83, 571.15 and 256.49 is: 354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.83 : 571.15 = 256.49 : x
  2. Step 2: Convert to fraction form
    413.83/571.15 = 256.49/x
  3. Step 3: Cross multiply
    413.83x = 571.15 × 256.49
  4. Step 4: Simplify right side
    413.83x = 146,494.26
  5. Step 5: Solve for x
    x = 146,494.26/413.83
  6. Step 6: Final answer
    x = 354.00

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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.