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Finding the Fourth Proportional to 491.62, 677.59 and 421.59

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Solution

The fourth proportional to 491.62, 677.59 and 421.59 is: 581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.62 : 677.59 = 421.59 : x
  2. Step 2: Convert to fraction form
    491.62/677.59 = 421.59/x
  3. Step 3: Cross multiply
    491.62x = 677.59 × 421.59
  4. Step 4: Simplify right side
    491.62x = 285,664.11
  5. Step 5: Solve for x
    x = 285,664.11/491.62
  6. Step 6: Final answer
    x = 581.07

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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.