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Finding the Fourth Proportional to 518.72, 715.81 and 322.23

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Solution

The fourth proportional to 518.72, 715.81 and 322.23 is: 444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.72 : 715.81 = 322.23 : x
  2. Step 2: Convert to fraction form
    518.72/715.81 = 322.23/x
  3. Step 3: Cross multiply
    518.72x = 715.81 × 322.23
  4. Step 4: Simplify right side
    518.72x = 230,653.85
  5. Step 5: Solve for x
    x = 230,653.85/518.72
  6. Step 6: Final answer
    x = 444.66

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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.