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Finding the Fourth Proportional to 582.66, 804.45 and 361.94

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Solution

The fourth proportional to 582.66, 804.45 and 361.94 is: 499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.66 : 804.45 = 361.94 : x
  2. Step 2: Convert to fraction form
    582.66/804.45 = 361.94/x
  3. Step 3: Cross multiply
    582.66x = 804.45 × 361.94
  4. Step 4: Simplify right side
    582.66x = 291,158.61
  5. Step 5: Solve for x
    x = 291,158.61/582.66
  6. Step 6: Final answer
    x = 499.71

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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.