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Finding the Fourth Proportional to 654.31, 903.01 and 374.64

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Solution

The fourth proportional to 654.31, 903.01 and 374.64 is: 517.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.31 : 903.01 = 374.64 : x
  2. Step 2: Convert to fraction form
    654.31/903.01 = 374.64/x
  3. Step 3: Cross multiply
    654.31x = 903.01 × 374.64
  4. Step 4: Simplify right side
    654.31x = 338,300.05
  5. Step 5: Solve for x
    x = 338,300.05/654.31
  6. Step 6: Final answer
    x = 517.03

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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.