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Finding the Fourth Proportional to 582.69, 804.09 and 361.59

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Solution

The fourth proportional to 582.69, 804.09 and 361.59 is: 498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.69 : 804.09 = 361.59 : x
  2. Step 2: Convert to fraction form
    582.69/804.09 = 361.59/x
  3. Step 3: Cross multiply
    582.69x = 804.09 × 361.59
  4. Step 4: Simplify right side
    582.69x = 290,750.90
  5. Step 5: Solve for x
    x = 290,750.90/582.69
  6. Step 6: Final answer
    x = 498.98

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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.