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Finding the Fourth Proportional to 654.91, 903.84 and 375.23

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Solution

The fourth proportional to 654.91, 903.84 and 375.23 is: 517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.91 : 903.84 = 375.23 : x
  2. Step 2: Convert to fraction form
    654.91/903.84 = 375.23/x
  3. Step 3: Cross multiply
    654.91x = 903.84 × 375.23
  4. Step 4: Simplify right side
    654.91x = 339,146.01
  5. Step 5: Solve for x
    x = 339,146.01/654.91
  6. Step 6: Final answer
    x = 517.86

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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.