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Finding the Fourth Proportional to 654.65, 903.49 and 418.82

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Solution

The fourth proportional to 654.65, 903.49 and 418.82 is: 578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.65 : 903.49 = 418.82 : x
  2. Step 2: Convert to fraction form
    654.65/903.49 = 418.82/x
  3. Step 3: Cross multiply
    654.65x = 903.49 × 418.82
  4. Step 4: Simplify right side
    654.65x = 378,399.68
  5. Step 5: Solve for x
    x = 378,399.68/654.65
  6. Step 6: Final answer
    x = 578.02

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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.