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Finding the Fourth Proportional to 582.46, 804.14 and 361.53

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Solution

The fourth proportional to 582.46, 804.14 and 361.53 is: 499.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.46 : 804.14 = 361.53 : x
  2. Step 2: Convert to fraction form
    582.46/804.14 = 361.53/x
  3. Step 3: Cross multiply
    582.46x = 804.14 × 361.53
  4. Step 4: Simplify right side
    582.46x = 290,723.30
  5. Step 5: Solve for x
    x = 290,723.30/582.46
  6. Step 6: Final answer
    x = 499.13

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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.