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Finding the Fourth Proportional to 413.13, 570.72 and 330.12

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Solution

The fourth proportional to 413.13, 570.72 and 330.12 is: 456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.13 : 570.72 = 330.12 : x
  2. Step 2: Convert to fraction form
    413.13/570.72 = 330.12/x
  3. Step 3: Cross multiply
    413.13x = 570.72 × 330.12
  4. Step 4: Simplify right side
    413.13x = 188,406.09
  5. Step 5: Solve for x
    x = 188,406.09/413.13
  6. Step 6: Final answer
    x = 456.05

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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.