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Finding the Fourth Proportional to 582.28, 803.69 and 361.10

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Solution

The fourth proportional to 582.28, 803.69 and 361.10 is: 498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.28 : 803.69 = 361.10 : x
  2. Step 2: Convert to fraction form
    582.28/803.69 = 361.10/x
  3. Step 3: Cross multiply
    582.28x = 803.69 × 361.10
  4. Step 4: Simplify right side
    582.28x = 290,212.46
  5. Step 5: Solve for x
    x = 290,212.46/582.28
  6. Step 6: Final answer
    x = 498.41

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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.