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Finding the Fourth Proportional to 673.14, 1,009.08 and 364.53

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Solution

The fourth proportional to 673.14, 1,009.08 and 364.53 is: 546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.14 : 1,009.08 = 364.53 : x
  2. Step 2: Convert to fraction form
    673.14/1,009.08 = 364.53/x
  3. Step 3: Cross multiply
    673.14x = 1,009.08 × 364.53
  4. Step 4: Simplify right side
    673.14x = 367,839.93
  5. Step 5: Solve for x
    x = 367,839.93/673.14
  6. Step 6: Final answer
    x = 546.45

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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.