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Finding the Fourth Proportional to 591.30, 815.97 and 416.94

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Solution

The fourth proportional to 591.30, 815.97 and 416.94 is: 575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.30 : 815.97 = 416.94 : x
  2. Step 2: Convert to fraction form
    591.30/815.97 = 416.94/x
  3. Step 3: Cross multiply
    591.30x = 815.97 × 416.94
  4. Step 4: Simplify right side
    591.30x = 340,210.53
  5. Step 5: Solve for x
    x = 340,210.53/591.30
  6. Step 6: Final answer
    x = 575.36

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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.