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Finding the Fourth Proportional to 524.96, 724.26 and 325.64

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Solution

The fourth proportional to 524.96, 724.26 and 325.64 is: 449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.96 : 724.26 = 325.64 : x
  2. Step 2: Convert to fraction form
    524.96/724.26 = 325.64/x
  3. Step 3: Cross multiply
    524.96x = 724.26 × 325.64
  4. Step 4: Simplify right side
    524.96x = 235,848.03
  5. Step 5: Solve for x
    x = 235,848.03/524.96
  6. Step 6: Final answer
    x = 449.27

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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.