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Finding the Fourth Proportional to 582.42, 804.04 and 361.50

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Solution

The fourth proportional to 582.42, 804.04 and 361.50 is: 499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.42 : 804.04 = 361.50 : x
  2. Step 2: Convert to fraction form
    582.42/804.04 = 361.50/x
  3. Step 3: Cross multiply
    582.42x = 804.04 × 361.50
  4. Step 4: Simplify right side
    582.42x = 290,660.46
  5. Step 5: Solve for x
    x = 290,660.46/582.42
  6. Step 6: Final answer
    x = 499.06

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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.