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Finding the Fourth Proportional to 413.63, 570.80 and 258.47

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Solution

The fourth proportional to 413.63, 570.80 and 258.47 is: 356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.63 : 570.80 = 258.47 : x
  2. Step 2: Convert to fraction form
    413.63/570.80 = 258.47/x
  3. Step 3: Cross multiply
    413.63x = 570.80 × 258.47
  4. Step 4: Simplify right side
    413.63x = 147,534.68
  5. Step 5: Solve for x
    x = 147,534.68/413.63
  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.