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Finding the Fourth Proportional to 673.26, 929.25 and 440.25

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Solution

The fourth proportional to 673.26, 929.25 and 440.25 is: 607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.26 : 929.25 = 440.25 : x
  2. Step 2: Convert to fraction form
    673.26/929.25 = 440.25/x
  3. Step 3: Cross multiply
    673.26x = 929.25 × 440.25
  4. Step 4: Simplify right side
    673.26x = 409,102.31
  5. Step 5: Solve for x
    x = 409,102.31/673.26
  6. Step 6: Final answer
    x = 607.64

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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.