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Finding the Fourth Proportional to 413.34, 570.33 and 282.30

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Solution

The fourth proportional to 413.34, 570.33 and 282.30 is: 389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.34 : 570.33 = 282.30 : x
  2. Step 2: Convert to fraction form
    413.34/570.33 = 282.30/x
  3. Step 3: Cross multiply
    413.34x = 570.33 × 282.30
  4. Step 4: Simplify right side
    413.34x = 161,004.16
  5. Step 5: Solve for x
    x = 161,004.16/413.34
  6. Step 6: Final answer
    x = 389.52

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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.