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Finding the Fourth Proportional to 673.11, 1,009.49 and 307.71

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Solution

The fourth proportional to 673.11, 1,009.49 and 307.71 is: 461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.11 : 1,009.49 = 307.71 : x
  2. Step 2: Convert to fraction form
    673.11/1,009.49 = 307.71/x
  3. Step 3: Cross multiply
    673.11x = 1,009.49 × 307.71
  4. Step 4: Simplify right side
    673.11x = 310,628.63
  5. Step 5: Solve for x
    x = 310,628.63/673.11
  6. Step 6: Final answer
    x = 461.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.