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Finding the Fourth Proportional to 582.76, 804.25 and 361.72

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Solution

The fourth proportional to 582.76, 804.25 and 361.72 is: 499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.76 : 804.25 = 361.72 : x
  2. Step 2: Convert to fraction form
    582.76/804.25 = 361.72/x
  3. Step 3: Cross multiply
    582.76x = 804.25 × 361.72
  4. Step 4: Simplify right side
    582.76x = 290,913.31
  5. Step 5: Solve for x
    x = 290,913.31/582.76
  6. Step 6: Final answer
    x = 499.20

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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.