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Finding the Fourth Proportional to 584.14, 805.80 and 418.47

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Solution

The fourth proportional to 584.14, 805.80 and 418.47 is: 577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.14 : 805.80 = 418.47 : x
  2. Step 2: Convert to fraction form
    584.14/805.80 = 418.47/x
  3. Step 3: Cross multiply
    584.14x = 805.80 × 418.47
  4. Step 4: Simplify right side
    584.14x = 337,203.13
  5. Step 5: Solve for x
    x = 337,203.13/584.14
  6. Step 6: Final answer
    x = 577.26

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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.