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Finding the Fourth Proportional to 924.81, 1,388.31 and 377.43

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Solution

The fourth proportional to 924.81, 1,388.31 and 377.43 is: 566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.81 : 1,388.31 = 377.43 : x
  2. Step 2: Convert to fraction form
    924.81/1,388.31 = 377.43/x
  3. Step 3: Cross multiply
    924.81x = 1,388.31 × 377.43
  4. Step 4: Simplify right side
    924.81x = 523,989.84
  5. Step 5: Solve for x
    x = 523,989.84/924.81
  6. Step 6: Final answer
    x = 566.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.