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Finding the Fourth Proportional to 667.64, 921.54 and 434.78

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Solution

The fourth proportional to 667.64, 921.54 and 434.78 is: 600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.64 : 921.54 = 434.78 : x
  2. Step 2: Convert to fraction form
    667.64/921.54 = 434.78/x
  3. Step 3: Cross multiply
    667.64x = 921.54 × 434.78
  4. Step 4: Simplify right side
    667.64x = 400,667.16
  5. Step 5: Solve for x
    x = 400,667.16/667.64
  6. Step 6: Final answer
    x = 600.12

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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.