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Finding the Fourth Proportional to 574.66, 860.40 and 435.41

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Solution

The fourth proportional to 574.66, 860.40 and 435.41 is: 651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.66 : 860.40 = 435.41 : x
  2. Step 2: Convert to fraction form
    574.66/860.40 = 435.41/x
  3. Step 3: Cross multiply
    574.66x = 860.40 × 435.41
  4. Step 4: Simplify right side
    574.66x = 374,626.76
  5. Step 5: Solve for x
    x = 374,626.76/574.66
  6. Step 6: Final answer
    x = 651.91

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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.