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Finding the Fourth Proportional to 525, 724.26 and 325.77

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Solution

The fourth proportional to 525, 724.26 and 325.77 is: 449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    525 : 724.26 = 325.77 : x
  2. Step 2: Convert to fraction form
    525/724.26 = 325.77/x
  3. Step 3: Cross multiply
    525x = 724.26 × 325.77
  4. Step 4: Simplify right side
    525x = 235,942.18
  5. Step 5: Solve for x
    x = 235,942.18/525
  6. Step 6: Final answer
    x = 449.41

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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.