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Finding the Fourth Proportional to 577.41, 794.67 and 525.09

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Solution

The fourth proportional to 577.41, 794.67 and 525.09 is: 722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.41 : 794.67 = 525.09 : x
  2. Step 2: Convert to fraction form
    577.41/794.67 = 525.09/x
  3. Step 3: Cross multiply
    577.41x = 794.67 × 525.09
  4. Step 4: Simplify right side
    577.41x = 417,273.27
  5. Step 5: Solve for x
    x = 417,273.27/577.41
  6. Step 6: Final answer
    x = 722.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.