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Finding the Fourth Proportional to 582.24, 803.56 and 349.44

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Solution

The fourth proportional to 582.24, 803.56 and 349.44 is: 482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.24 : 803.56 = 349.44 : x
  2. Step 2: Convert to fraction form
    582.24/803.56 = 349.44/x
  3. Step 3: Cross multiply
    582.24x = 803.56 × 349.44
  4. Step 4: Simplify right side
    582.24x = 280,796.01
  5. Step 5: Solve for x
    x = 280,796.01/582.24
  6. Step 6: Final answer
    x = 482.27

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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.