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Finding the Fourth Proportional to 572.98, 859.60 and 411.88

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Solution

The fourth proportional to 572.98, 859.60 and 411.88 is: 617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.98 : 859.60 = 411.88 : x
  2. Step 2: Convert to fraction form
    572.98/859.60 = 411.88/x
  3. Step 3: Cross multiply
    572.98x = 859.60 × 411.88
  4. Step 4: Simplify right side
    572.98x = 354,052.05
  5. Step 5: Solve for x
    x = 354,052.05/572.98
  6. Step 6: Final answer
    x = 617.91

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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.