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Finding the Fourth Proportional to 413.84, 571.02 and 258.50

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Solution

The fourth proportional to 413.84, 571.02 and 258.50 is: 356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.84 : 571.02 = 258.50 : x
  2. Step 2: Convert to fraction form
    413.84/571.02 = 258.50/x
  3. Step 3: Cross multiply
    413.84x = 571.02 × 258.50
  4. Step 4: Simplify right side
    413.84x = 147,608.67
  5. Step 5: Solve for x
    x = 147,608.67/413.84
  6. Step 6: Final answer
    x = 356.68

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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.