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Finding the Fourth Proportional to 413.19, 570.75 and 330.87

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Solution

The fourth proportional to 413.19, 570.75 and 330.87 is: 457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.19 : 570.75 = 330.87 : x
  2. Step 2: Convert to fraction form
    413.19/570.75 = 330.87/x
  3. Step 3: Cross multiply
    413.19x = 570.75 × 330.87
  4. Step 4: Simplify right side
    413.19x = 188,844.05
  5. Step 5: Solve for x
    x = 188,844.05/413.19
  6. Step 6: Final answer
    x = 457.04

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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.