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Finding the Fourth Proportional to 582.23, 803.61 and 361.05

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Solution

The fourth proportional to 582.23, 803.61 and 361.05 is: 498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.23 : 803.61 = 361.05 : x
  2. Step 2: Convert to fraction form
    582.23/803.61 = 361.05/x
  3. Step 3: Cross multiply
    582.23x = 803.61 × 361.05
  4. Step 4: Simplify right side
    582.23x = 290,143.39
  5. Step 5: Solve for x
    x = 290,143.39/582.23
  6. Step 6: Final answer
    x = 498.33

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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.