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Finding the Fourth Proportional to 520.94, 719.31 and 322.07

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Solution

The fourth proportional to 520.94, 719.31 and 322.07 is: 444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.94 : 719.31 = 322.07 : x
  2. Step 2: Convert to fraction form
    520.94/719.31 = 322.07/x
  3. Step 3: Cross multiply
    520.94x = 719.31 × 322.07
  4. Step 4: Simplify right side
    520.94x = 231,665.78
  5. Step 5: Solve for x
    x = 231,665.78/520.94
  6. Step 6: Final answer
    x = 444.71

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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.