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Finding the Fourth Proportional to 673.66, 1,009.54 and 307.82

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Solution

The fourth proportional to 673.66, 1,009.54 and 307.82 is: 461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.66 : 1,009.54 = 307.82 : x
  2. Step 2: Convert to fraction form
    673.66/1,009.54 = 307.82/x
  3. Step 3: Cross multiply
    673.66x = 1,009.54 × 307.82
  4. Step 4: Simplify right side
    673.66x = 310,756.60
  5. Step 5: Solve for x
    x = 310,756.60/673.66
  6. Step 6: Final answer
    x = 461.30

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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.