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Finding the Fourth Proportional to 413.76, 571.04 and 258.48

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Solution

The fourth proportional to 413.76, 571.04 and 258.48 is: 356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.76 : 571.04 = 258.48 : x
  2. Step 2: Convert to fraction form
    413.76/571.04 = 258.48/x
  3. Step 3: Cross multiply
    413.76x = 571.04 × 258.48
  4. Step 4: Simplify right side
    413.76x = 147,602.42
  5. Step 5: Solve for x
    x = 147,602.42/413.76
  6. Step 6: Final answer
    x = 356.73

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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.