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Finding the Fourth Proportional to 524.40, 723.60 and 325.23

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Solution

The fourth proportional to 524.40, 723.60 and 325.23 is: 448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.40 : 723.60 = 325.23 : x
  2. Step 2: Convert to fraction form
    524.40/723.60 = 325.23/x
  3. Step 3: Cross multiply
    524.40x = 723.60 × 325.23
  4. Step 4: Simplify right side
    524.40x = 235,336.43
  5. Step 5: Solve for x
    x = 235,336.43/524.40
  6. Step 6: Final answer
    x = 448.77

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