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Finding the Fourth Proportional to 654.82, 903.64 and 360.08

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Solution

The fourth proportional to 654.82, 903.64 and 360.08 is: 496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.82 : 903.64 = 360.08 : x
  2. Step 2: Convert to fraction form
    654.82/903.64 = 360.08/x
  3. Step 3: Cross multiply
    654.82x = 903.64 × 360.08
  4. Step 4: Simplify right side
    654.82x = 325,378.17
  5. Step 5: Solve for x
    x = 325,378.17/654.82
  6. Step 6: Final answer
    x = 496.90

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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.