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Finding the Fourth Proportional to 584.49, 806.43 and 407.25

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Solution

The fourth proportional to 584.49, 806.43 and 407.25 is: 561.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.49 : 806.43 = 407.25 : x
  2. Step 2: Convert to fraction form
    584.49/806.43 = 407.25/x
  3. Step 3: Cross multiply
    584.49x = 806.43 × 407.25
  4. Step 4: Simplify right side
    584.49x = 328,418.62
  5. Step 5: Solve for x
    x = 328,418.62/584.49
  6. Step 6: Final answer
    x = 561.89

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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.