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Finding the Fourth Proportional to 675.49, 932.27 and 488.91

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Solution

The fourth proportional to 675.49, 932.27 and 488.91 is: 674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.49 : 932.27 = 488.91 : x
  2. Step 2: Convert to fraction form
    675.49/932.27 = 488.91/x
  3. Step 3: Cross multiply
    675.49x = 932.27 × 488.91
  4. Step 4: Simplify right side
    675.49x = 455,794.06
  5. Step 5: Solve for x
    x = 455,794.06/675.49
  6. Step 6: Final answer
    x = 674.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.