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Finding the Fourth Proportional to 491.71, 737.37 and 183.46

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Solution

The fourth proportional to 491.71, 737.37 and 183.46 is: 275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.71 : 737.37 = 183.46 : x
  2. Step 2: Convert to fraction form
    491.71/737.37 = 183.46/x
  3. Step 3: Cross multiply
    491.71x = 737.37 × 183.46
  4. Step 4: Simplify right side
    491.71x = 135,277.90
  5. Step 5: Solve for x
    x = 135,277.90/491.71
  6. Step 6: Final answer
    x = 275.12

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Why These Related Problems?

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