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Finding the Fourth Proportional to 572.63, 859.37 and 435.92

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Solution

The fourth proportional to 572.63, 859.37 and 435.92 is: 654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.63 : 859.37 = 435.92 : x
  2. Step 2: Convert to fraction form
    572.63/859.37 = 435.92/x
  3. Step 3: Cross multiply
    572.63x = 859.37 × 435.92
  4. Step 4: Simplify right side
    572.63x = 374,610.09
  5. Step 5: Solve for x
    x = 374,610.09/572.63
  6. Step 6: Final answer
    x = 654.20

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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.