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Finding the Fourth Proportional to 521.11, 718.90 and 364.13

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Solution

The fourth proportional to 521.11, 718.90 and 364.13 is: 502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.11 : 718.90 = 364.13 : x
  2. Step 2: Convert to fraction form
    521.11/718.90 = 364.13/x
  3. Step 3: Cross multiply
    521.11x = 718.90 × 364.13
  4. Step 4: Simplify right side
    521.11x = 261,773.06
  5. Step 5: Solve for x
    x = 261,773.06/521.11
  6. Step 6: Final answer
    x = 502.34

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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.