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Finding the Fourth Proportional to 521.56, 719.64 and 325.12

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Solution

The fourth proportional to 521.56, 719.64 and 325.12 is: 448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.56 : 719.64 = 325.12 : x
  2. Step 2: Convert to fraction form
    521.56/719.64 = 325.12/x
  3. Step 3: Cross multiply
    521.56x = 719.64 × 325.12
  4. Step 4: Simplify right side
    521.56x = 233,969.36
  5. Step 5: Solve for x
    x = 233,969.36/521.56
  6. Step 6: Final answer
    x = 448.60

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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.