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Finding the Fourth Proportional to 673.30, 927.99 and 507.22

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Solution

The fourth proportional to 673.30, 927.99 and 507.22 is: 699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.30 : 927.99 = 507.22 : x
  2. Step 2: Convert to fraction form
    673.30/927.99 = 507.22/x
  3. Step 3: Cross multiply
    673.30x = 927.99 × 507.22
  4. Step 4: Simplify right side
    673.30x = 470,695.09
  5. Step 5: Solve for x
    x = 470,695.09/673.30
  6. Step 6: Final answer
    x = 699.09

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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.