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Finding the Fourth Proportional to 521.36, 719.24 and 364.36

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Solution

The fourth proportional to 521.36, 719.24 and 364.36 is: 502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.36 : 719.24 = 364.36 : x
  2. Step 2: Convert to fraction form
    521.36/719.24 = 364.36/x
  3. Step 3: Cross multiply
    521.36x = 719.24 × 364.36
  4. Step 4: Simplify right side
    521.36x = 262,062.29
  5. Step 5: Solve for x
    x = 262,062.29/521.36
  6. Step 6: Final answer
    x = 502.65

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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.