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Finding the Fourth Proportional to 673.05, 929.13 and 507.33

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Solution

The fourth proportional to 673.05, 929.13 and 507.33 is: 700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.05 : 929.13 = 507.33 : x
  2. Step 2: Convert to fraction form
    673.05/929.13 = 507.33/x
  3. Step 3: Cross multiply
    673.05x = 929.13 × 507.33
  4. Step 4: Simplify right side
    673.05x = 471,375.52
  5. Step 5: Solve for x
    x = 471,375.52/673.05
  6. Step 6: Final answer
    x = 700.36

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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.