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Finding the Fourth Proportional to 591.09, 815.45 and 358.17

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Solution

The fourth proportional to 591.09, 815.45 and 358.17 is: 494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.09 : 815.45 = 358.17 : x
  2. Step 2: Convert to fraction form
    591.09/815.45 = 358.17/x
  3. Step 3: Cross multiply
    591.09x = 815.45 × 358.17
  4. Step 4: Simplify right side
    591.09x = 292,067.94
  5. Step 5: Solve for x
    x = 292,067.94/591.09
  6. Step 6: Final answer
    x = 494.12

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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.