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Finding the Fourth Proportional to 677.06, 934.37 and 382.35

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Solution

The fourth proportional to 677.06, 934.37 and 382.35 is: 527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.06 : 934.37 = 382.35 : x
  2. Step 2: Convert to fraction form
    677.06/934.37 = 382.35/x
  3. Step 3: Cross multiply
    677.06x = 934.37 × 382.35
  4. Step 4: Simplify right side
    677.06x = 357,256.37
  5. Step 5: Solve for x
    x = 357,256.37/677.06
  6. Step 6: Final answer
    x = 527.66

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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.