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Finding the Fourth Proportional to 654.91, 903.78 and 360.19

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Solution

The fourth proportional to 654.91, 903.78 and 360.19 is: 497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.91 : 903.78 = 360.19 : x
  2. Step 2: Convert to fraction form
    654.91/903.78 = 360.19/x
  3. Step 3: Cross multiply
    654.91x = 903.78 × 360.19
  4. Step 4: Simplify right side
    654.91x = 325,532.52
  5. Step 5: Solve for x
    x = 325,532.52/654.91
  6. Step 6: Final answer
    x = 497.06

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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.