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Finding the Fourth Proportional to 413.04, 570.01 and 238.34

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Solution

The fourth proportional to 413.04, 570.01 and 238.34 is: 328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.04 : 570.01 = 238.34 : x
  2. Step 2: Convert to fraction form
    413.04/570.01 = 238.34/x
  3. Step 3: Cross multiply
    413.04x = 570.01 × 238.34
  4. Step 4: Simplify right side
    413.04x = 135,856.18
  5. Step 5: Solve for x
    x = 135,856.18/413.04
  6. Step 6: Final answer
    x = 328.92

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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.