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Finding the Fourth Proportional to 413.16, 570.60 and 258

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Solution

The fourth proportional to 413.16, 570.60 and 258 is: 356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.16 : 570.60 = 258 : x
  2. Step 2: Convert to fraction form
    413.16/570.60 = 258/x
  3. Step 3: Cross multiply
    413.16x = 570.60 × 258
  4. Step 4: Simplify right side
    413.16x = 147,214.80
  5. Step 5: Solve for x
    x = 147,214.80/413.16
  6. Step 6: Final answer
    x = 356.31

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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.