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Finding the Fourth Proportional to 667.81, 921.52 and 458.17

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Solution

The fourth proportional to 667.81, 921.52 and 458.17 is: 632.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.81 : 921.52 = 458.17 : x
  2. Step 2: Convert to fraction form
    667.81/921.52 = 458.17/x
  3. Step 3: Cross multiply
    667.81x = 921.52 × 458.17
  4. Step 4: Simplify right side
    667.81x = 422,208.22
  5. Step 5: Solve for x
    x = 422,208.22/667.81
  6. Step 6: Final answer
    x = 632.23

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1.5x scale

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.