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Finding the Fourth Proportional to 413.16, 570.50 and 257.96

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Solution

The fourth proportional to 413.16, 570.50 and 257.96 is: 356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.16 : 570.50 = 257.96 : x
  2. Step 2: Convert to fraction form
    413.16/570.50 = 257.96/x
  3. Step 3: Cross multiply
    413.16x = 570.50 × 257.96
  4. Step 4: Simplify right side
    413.16x = 147,166.18
  5. Step 5: Solve for x
    x = 147,166.18/413.16
  6. Step 6: Final answer
    x = 356.20

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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.