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Finding the Fourth Proportional to 521.34, 718.99 and 432.68

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Solution

The fourth proportional to 521.34, 718.99 and 432.68 is: 596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.34 : 718.99 = 432.68 : x
  2. Step 2: Convert to fraction form
    521.34/718.99 = 432.68/x
  3. Step 3: Cross multiply
    521.34x = 718.99 × 432.68
  4. Step 4: Simplify right side
    521.34x = 311,090.43
  5. Step 5: Solve for x
    x = 311,090.43/521.34
  6. Step 6: Final answer
    x = 596.71

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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.