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Finding the Fourth Proportional to 654.63, 903.45 and 359.96

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Solution

The fourth proportional to 654.63, 903.45 and 359.96 is: 496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.63 : 903.45 = 359.96 : x
  2. Step 2: Convert to fraction form
    654.63/903.45 = 359.96/x
  3. Step 3: Cross multiply
    654.63x = 903.45 × 359.96
  4. Step 4: Simplify right side
    654.63x = 325,199.54
  5. Step 5: Solve for x
    x = 325,199.54/654.63
  6. Step 6: Final answer
    x = 496.77

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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.