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Finding the Fourth Proportional to 677.55, 935.03 and 382.82

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Solution

The fourth proportional to 677.55, 935.03 and 382.82 is: 528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.55 : 935.03 = 382.82 : x
  2. Step 2: Convert to fraction form
    677.55/935.03 = 382.82/x
  3. Step 3: Cross multiply
    677.55x = 935.03 × 382.82
  4. Step 4: Simplify right side
    677.55x = 357,948.18
  5. Step 5: Solve for x
    x = 357,948.18/677.55
  6. Step 6: Final answer
    x = 528.30

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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.