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Finding the Fourth Proportional to 594.80, 821.08 and 439.60

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Solution

The fourth proportional to 594.80, 821.08 and 439.60 is: 606.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.80 : 821.08 = 439.60 : x
  2. Step 2: Convert to fraction form
    594.80/821.08 = 439.60/x
  3. Step 3: Cross multiply
    594.80x = 821.08 × 439.60
  4. Step 4: Simplify right side
    594.80x = 360,946.77
  5. Step 5: Solve for x
    x = 360,946.77/594.80
  6. Step 6: Final answer
    x = 606.84

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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.