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Finding the Fourth Proportional to 591.76, 816.75 and 382.11

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Solution

The fourth proportional to 591.76, 816.75 and 382.11 is: 527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.76 : 816.75 = 382.11 : x
  2. Step 2: Convert to fraction form
    591.76/816.75 = 382.11/x
  3. Step 3: Cross multiply
    591.76x = 816.75 × 382.11
  4. Step 4: Simplify right side
    591.76x = 312,088.34
  5. Step 5: Solve for x
    x = 312,088.34/591.76
  6. Step 6: Final answer
    x = 527.39

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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.