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Finding the Fourth Proportional to 655.36, 904.42 and 360.65

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Solution

The fourth proportional to 655.36, 904.42 and 360.65 is: 497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.36 : 904.42 = 360.65 : x
  2. Step 2: Convert to fraction form
    655.36/904.42 = 360.65/x
  3. Step 3: Cross multiply
    655.36x = 904.42 × 360.65
  4. Step 4: Simplify right side
    655.36x = 326,179.07
  5. Step 5: Solve for x
    x = 326,179.07/655.36
  6. Step 6: Final answer
    x = 497.71

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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.