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Finding the Fourth Proportional to 678.04, 935.58 and 441.88

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Solution

The fourth proportional to 678.04, 935.58 and 441.88 is: 609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.04 : 935.58 = 441.88 : x
  2. Step 2: Convert to fraction form
    678.04/935.58 = 441.88/x
  3. Step 3: Cross multiply
    678.04x = 935.58 × 441.88
  4. Step 4: Simplify right side
    678.04x = 413,414.09
  5. Step 5: Solve for x
    x = 413,414.09/678.04
  6. Step 6: Final answer
    x = 609.72

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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.