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Finding the Fourth Proportional to 582.64, 804.12 and 361.60

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Solution

The fourth proportional to 582.64, 804.12 and 361.60 is: 499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.64 : 804.12 = 361.60 : x
  2. Step 2: Convert to fraction form
    582.64/804.12 = 361.60/x
  3. Step 3: Cross multiply
    582.64x = 804.12 × 361.60
  4. Step 4: Simplify right side
    582.64x = 290,769.79
  5. Step 5: Solve for x
    x = 290,769.79/582.64
  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.