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Finding the Fourth Proportional to 594.82, 821.10 and 418.60

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Solution

The fourth proportional to 594.82, 821.10 and 418.60 is: 577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.82 : 821.10 = 418.60 : x
  2. Step 2: Convert to fraction form
    594.82/821.10 = 418.60/x
  3. Step 3: Cross multiply
    594.82x = 821.10 × 418.60
  4. Step 4: Simplify right side
    594.82x = 343,712.46
  5. Step 5: Solve for x
    x = 343,712.46/594.82
  6. Step 6: Final answer
    x = 577.84

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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.