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Finding the Fourth Proportional to 675.94, 932.02 and 499.16

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Solution

The fourth proportional to 675.94, 932.02 and 499.16 is: 688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.94 : 932.02 = 499.16 : x
  2. Step 2: Convert to fraction form
    675.94/932.02 = 499.16/x
  3. Step 3: Cross multiply
    675.94x = 932.02 × 499.16
  4. Step 4: Simplify right side
    675.94x = 465,228.35
  5. Step 5: Solve for x
    x = 465,228.35/675.94
  6. Step 6: Final answer
    x = 688.27

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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.