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Finding the Fourth Proportional to 491.98, 737.87 and 175.41

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Solution

The fourth proportional to 491.98, 737.87 and 175.41 is: 263.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.98 : 737.87 = 175.41 : x
  2. Step 2: Convert to fraction form
    491.98/737.87 = 175.41/x
  3. Step 3: Cross multiply
    491.98x = 737.87 × 175.41
  4. Step 4: Simplify right side
    491.98x = 129,428.90
  5. Step 5: Solve for x
    x = 129,428.90/491.98
  6. Step 6: Final answer
    x = 263.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.