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Finding the Fourth Proportional to 673.64, 929.70 and 378.96

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Solution

The fourth proportional to 673.64, 929.70 and 378.96 is: 523.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.64 : 929.70 = 378.96 : x
  2. Step 2: Convert to fraction form
    673.64/929.70 = 378.96/x
  3. Step 3: Cross multiply
    673.64x = 929.70 × 378.96
  4. Step 4: Simplify right side
    673.64x = 352,318.95
  5. Step 5: Solve for x
    x = 352,318.95/673.64
  6. Step 6: Final answer
    x = 523.01

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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.