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Finding the Fourth Proportional to 677.02, 934.46 and 382.46

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Solution

The fourth proportional to 677.02, 934.46 and 382.46 is: 527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.02 : 934.46 = 382.46 : x
  2. Step 2: Convert to fraction form
    677.02/934.46 = 382.46/x
  3. Step 3: Cross multiply
    677.02x = 934.46 × 382.46
  4. Step 4: Simplify right side
    677.02x = 357,393.57
  5. Step 5: Solve for x
    x = 357,393.57/677.02
  6. Step 6: Final answer
    x = 527.89

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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.