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Finding the Fourth Proportional to 491.72, 737.40 and 162.57

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Solution

The fourth proportional to 491.72, 737.40 and 162.57 is: 243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.72 : 737.40 = 162.57 : x
  2. Step 2: Convert to fraction form
    491.72/737.40 = 162.57/x
  3. Step 3: Cross multiply
    491.72x = 737.40 × 162.57
  4. Step 4: Simplify right side
    491.72x = 119,878.51
  5. Step 5: Solve for x
    x = 119,878.51/491.72
  6. Step 6: Final answer
    x = 243.79

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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.