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Finding the Fourth Proportional to 582.20, 803.03 and 395.58

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Solution

The fourth proportional to 582.20, 803.03 and 395.58 is: 545.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.20 : 803.03 = 395.58 : x
  2. Step 2: Convert to fraction form
    582.20/803.03 = 395.58/x
  3. Step 3: Cross multiply
    582.20x = 803.03 × 395.58
  4. Step 4: Simplify right side
    582.20x = 317,660.63
  5. Step 5: Solve for x
    x = 317,660.63/582.20
  6. Step 6: Final answer
    x = 545.63

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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.