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Finding the Fourth Proportional to 677.33, 934.53 and 441.31

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Solution

The fourth proportional to 677.33, 934.53 and 441.31 is: 608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.33 : 934.53 = 441.31 : x
  2. Step 2: Convert to fraction form
    677.33/934.53 = 441.31/x
  3. Step 3: Cross multiply
    677.33x = 934.53 × 441.31
  4. Step 4: Simplify right side
    677.33x = 412,417.43
  5. Step 5: Solve for x
    x = 412,417.43/677.33
  6. Step 6: Final answer
    x = 608.89

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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.