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Finding the Fourth Proportional to 654.57, 903.32 and 359.84

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Solution

The fourth proportional to 654.57, 903.32 and 359.84 is: 496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.57 : 903.32 = 359.84 : x
  2. Step 2: Convert to fraction form
    654.57/903.32 = 359.84/x
  3. Step 3: Cross multiply
    654.57x = 903.32 × 359.84
  4. Step 4: Simplify right side
    654.57x = 325,048.87
  5. Step 5: Solve for x
    x = 325,048.87/654.57
  6. Step 6: Final answer
    x = 496.59

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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.