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Finding the Fourth Proportional to 582.83, 804.33 and 361.76

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Solution

The fourth proportional to 582.83, 804.33 and 361.76 is: 499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.83 : 804.33 = 361.76 : x
  2. Step 2: Convert to fraction form
    582.83/804.33 = 361.76/x
  3. Step 3: Cross multiply
    582.83x = 804.33 × 361.76
  4. Step 4: Simplify right side
    582.83x = 290,974.42
  5. Step 5: Solve for x
    x = 290,974.42/582.83
  6. Step 6: Final answer
    x = 499.24

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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.