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Finding the Fourth Proportional to 582.20, 804.21 and 484.46

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Solution

The fourth proportional to 582.20, 804.21 and 484.46 is: 669.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.20 : 804.21 = 484.46 : x
  2. Step 2: Convert to fraction form
    582.20/804.21 = 484.46/x
  3. Step 3: Cross multiply
    582.20x = 804.21 × 484.46
  4. Step 4: Simplify right side
    582.20x = 389,607.58
  5. Step 5: Solve for x
    x = 389,607.58/582.20
  6. Step 6: Final answer
    x = 669.20

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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.