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Finding the Fourth Proportional to 573.27, 858.07 and 451.77

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Solution

The fourth proportional to 573.27, 858.07 and 451.77 is: 676.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.27 : 858.07 = 451.77 : x
  2. Step 2: Convert to fraction form
    573.27/858.07 = 451.77/x
  3. Step 3: Cross multiply
    573.27x = 858.07 × 451.77
  4. Step 4: Simplify right side
    573.27x = 387,650.28
  5. Step 5: Solve for x
    x = 387,650.28/573.27
  6. Step 6: Final answer
    x = 676.21

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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.