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Finding the Fourth Proportional to 518.88, 715.92 and 322.56

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Solution

The fourth proportional to 518.88, 715.92 and 322.56 is: 445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.88 : 715.92 = 322.56 : x
  2. Step 2: Convert to fraction form
    518.88/715.92 = 322.56/x
  3. Step 3: Cross multiply
    518.88x = 715.92 × 322.56
  4. Step 4: Simplify right side
    518.88x = 230,927.16
  5. Step 5: Solve for x
    x = 230,927.16/518.88
  6. Step 6: Final answer
    x = 445.05

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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.