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Finding the Fourth Proportional to 574.06, 860.44 and 471.80

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Solution

The fourth proportional to 574.06, 860.44 and 471.80 is: 707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.06 : 860.44 = 471.80 : x
  2. Step 2: Convert to fraction form
    574.06/860.44 = 471.80/x
  3. Step 3: Cross multiply
    574.06x = 860.44 × 471.80
  4. Step 4: Simplify right side
    574.06x = 405,955.59
  5. Step 5: Solve for x
    x = 405,955.59/574.06
  6. Step 6: Final answer
    x = 707.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.