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Finding the Fourth Proportional to 572.96, 859.80 and 408.56

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Solution

The fourth proportional to 572.96, 859.80 and 408.56 is: 613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.96 : 859.80 = 408.56 : x
  2. Step 2: Convert to fraction form
    572.96/859.80 = 408.56/x
  3. Step 3: Cross multiply
    572.96x = 859.80 × 408.56
  4. Step 4: Simplify right side
    572.96x = 351,279.89
  5. Step 5: Solve for x
    x = 351,279.89/572.96
  6. Step 6: Final answer
    x = 613.10

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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.