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Finding the Fourth Proportional to 655, 903.92 and 360.24

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Solution

The fourth proportional to 655, 903.92 and 360.24 is: 497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    655 : 903.92 = 360.24 : x
  2. Step 2: Convert to fraction form
    655/903.92 = 360.24/x
  3. Step 3: Cross multiply
    655x = 903.92 × 360.24
  4. Step 4: Simplify right side
    655x = 325,628.14
  5. Step 5: Solve for x
    x = 325,628.14/655
  6. Step 6: Final answer
    x = 497.14

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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.