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Finding the Fourth Proportional to 574.39, 860.43 and 435.81

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Solution

The fourth proportional to 574.39, 860.43 and 435.81 is: 652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.39 : 860.43 = 435.81 : x
  2. Step 2: Convert to fraction form
    574.39/860.43 = 435.81/x
  3. Step 3: Cross multiply
    574.39x = 860.43 × 435.81
  4. Step 4: Simplify right side
    574.39x = 374,984.00
  5. Step 5: Solve for x
    x = 374,984.00/574.39
  6. Step 6: Final answer
    x = 652.84

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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.