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Finding the Fourth Proportional to 617.88, 852.55 and 382.03

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Solution

The fourth proportional to 617.88, 852.55 and 382.03 is: 527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.88 : 852.55 = 382.03 : x
  2. Step 2: Convert to fraction form
    617.88/852.55 = 382.03/x
  3. Step 3: Cross multiply
    617.88x = 852.55 × 382.03
  4. Step 4: Simplify right side
    617.88x = 325,699.68
  5. Step 5: Solve for x
    x = 325,699.68/617.88
  6. Step 6: Final answer
    x = 527.13

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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.