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Finding the Fourth Proportional to 677.21, 934.54 and 382.47

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Solution

The fourth proportional to 677.21, 934.54 and 382.47 is: 527.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.21 : 934.54 = 382.47 : x
  2. Step 2: Convert to fraction form
    677.21/934.54 = 382.47/x
  3. Step 3: Cross multiply
    677.21x = 934.54 × 382.47
  4. Step 4: Simplify right side
    677.21x = 357,434.31
  5. Step 5: Solve for x
    x = 357,434.31/677.21
  6. Step 6: Final answer
    x = 527.80

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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.