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Finding the Fourth Proportional to 413.54, 570.80 and 282.54

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Solution

The fourth proportional to 413.54, 570.80 and 282.54 is: 389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.54 : 570.80 = 282.54 : x
  2. Step 2: Convert to fraction form
    413.54/570.80 = 282.54/x
  3. Step 3: Cross multiply
    413.54x = 570.80 × 282.54
  4. Step 4: Simplify right side
    413.54x = 161,274.54
  5. Step 5: Solve for x
    x = 161,274.54/413.54
  6. Step 6: Final answer
    x = 389.99

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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.