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Finding the Fourth Proportional to 667.66, 921.30 and 458.01

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Solution

The fourth proportional to 667.66, 921.30 and 458.01 is: 632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.66 : 921.30 = 458.01 : x
  2. Step 2: Convert to fraction form
    667.66/921.30 = 458.01/x
  3. Step 3: Cross multiply
    667.66x = 921.30 × 458.01
  4. Step 4: Simplify right side
    667.66x = 421,968.07
  5. Step 5: Solve for x
    x = 421,968.07/667.66
  6. Step 6: Final answer
    x = 632.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.