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Finding the Fourth Proportional to 491.71, 737.71 and 183.58

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Solution

The fourth proportional to 491.71, 737.71 and 183.58 is: 275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.71 : 737.71 = 183.58 : x
  2. Step 2: Convert to fraction form
    491.71/737.71 = 183.58/x
  3. Step 3: Cross multiply
    491.71x = 737.71 × 183.58
  4. Step 4: Simplify right side
    491.71x = 135,428.80
  5. Step 5: Solve for x
    x = 135,428.80/491.71
  6. Step 6: Final answer
    x = 275.43

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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.