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Finding the Fourth Proportional to 673.64, 929.68 and 394.01

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Solution

The fourth proportional to 673.64, 929.68 and 394.01 is: 543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.64 : 929.68 = 394.01 : x
  2. Step 2: Convert to fraction form
    673.64/929.68 = 394.01/x
  3. Step 3: Cross multiply
    673.64x = 929.68 × 394.01
  4. Step 4: Simplify right side
    673.64x = 366,298.57
  5. Step 5: Solve for x
    x = 366,298.57/673.64
  6. Step 6: Final answer
    x = 543.76

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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.