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Finding the Fourth Proportional to 677.06, 934.40 and 382.42

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Solution

The fourth proportional to 677.06, 934.40 and 382.42 is: 527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.06 : 934.40 = 382.42 : x
  2. Step 2: Convert to fraction form
    677.06/934.40 = 382.42/x
  3. Step 3: Cross multiply
    677.06x = 934.40 × 382.42
  4. Step 4: Simplify right side
    677.06x = 357,333.25
  5. Step 5: Solve for x
    x = 357,333.25/677.06
  6. Step 6: Final answer
    x = 527.77

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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.