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Finding the Fourth Proportional to 654.97, 903.86 and 360.23

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Solution

The fourth proportional to 654.97, 903.86 and 360.23 is: 497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.97 : 903.86 = 360.23 : x
  2. Step 2: Convert to fraction form
    654.97/903.86 = 360.23/x
  3. Step 3: Cross multiply
    654.97x = 903.86 × 360.23
  4. Step 4: Simplify right side
    654.97x = 325,597.49
  5. Step 5: Solve for x
    x = 325,597.49/654.97
  6. Step 6: Final answer
    x = 497.12

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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.