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Finding the Fourth Proportional to 584.37, 805.31 and 418.29

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Solution

The fourth proportional to 584.37, 805.31 and 418.29 is: 576.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.37 : 805.31 = 418.29 : x
  2. Step 2: Convert to fraction form
    584.37/805.31 = 418.29/x
  3. Step 3: Cross multiply
    584.37x = 805.31 × 418.29
  4. Step 4: Simplify right side
    584.37x = 336,854.17
  5. Step 5: Solve for x
    x = 336,854.17/584.37
  6. Step 6: Final answer
    x = 576.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.