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Finding the Fourth Proportional to 594.60, 817.08 and 483.84

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Solution

The fourth proportional to 594.60, 817.08 and 483.84 is: 664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.60 : 817.08 = 483.84 : x
  2. Step 2: Convert to fraction form
    594.60/817.08 = 483.84/x
  3. Step 3: Cross multiply
    594.60x = 817.08 × 483.84
  4. Step 4: Simplify right side
    594.60x = 395,335.99
  5. Step 5: Solve for x
    x = 395,335.99/594.60
  6. Step 6: Final answer
    x = 664.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.