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Finding the Fourth Proportional to 518.56, 715.52 and 322.04

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Solution

The fourth proportional to 518.56, 715.52 and 322.04 is: 444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.56 : 715.52 = 322.04 : x
  2. Step 2: Convert to fraction form
    518.56/715.52 = 322.04/x
  3. Step 3: Cross multiply
    518.56x = 715.52 × 322.04
  4. Step 4: Simplify right side
    518.56x = 230,426.06
  5. Step 5: Solve for x
    x = 230,426.06/518.56
  6. Step 6: Final answer
    x = 444.36

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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.