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Finding the Fourth Proportional to 521.40, 718.89 and 324.57

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Solution

The fourth proportional to 521.40, 718.89 and 324.57 is: 447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.40 : 718.89 = 324.57 : x
  2. Step 2: Convert to fraction form
    521.40/718.89 = 324.57/x
  3. Step 3: Cross multiply
    521.40x = 718.89 × 324.57
  4. Step 4: Simplify right side
    521.40x = 233,330.13
  5. Step 5: Solve for x
    x = 233,330.13/521.40
  6. Step 6: Final answer
    x = 447.51

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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.