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Finding the Fourth Proportional to 582.25, 803.17 and 361.06

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Solution

The fourth proportional to 582.25, 803.17 and 361.06 is: 498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.25 : 803.17 = 361.06 : x
  2. Step 2: Convert to fraction form
    582.25/803.17 = 361.06/x
  3. Step 3: Cross multiply
    582.25x = 803.17 × 361.06
  4. Step 4: Simplify right side
    582.25x = 289,992.56
  5. Step 5: Solve for x
    x = 289,992.56/582.25
  6. Step 6: Final answer
    x = 498.06

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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.