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Finding the Fourth Proportional to 584.74, 806.99 and 437.12

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Solution

The fourth proportional to 584.74, 806.99 and 437.12 is: 603.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.74 : 806.99 = 437.12 : x
  2. Step 2: Convert to fraction form
    584.74/806.99 = 437.12/x
  3. Step 3: Cross multiply
    584.74x = 806.99 × 437.12
  4. Step 4: Simplify right side
    584.74x = 352,751.47
  5. Step 5: Solve for x
    x = 352,751.47/584.74
  6. Step 6: Final answer
    x = 603.26

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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.