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Finding the Fourth Proportional to 491.57, 678.53 and 325.80

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Solution

The fourth proportional to 491.57, 678.53 and 325.80 is: 449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.57 : 678.53 = 325.80 : x
  2. Step 2: Convert to fraction form
    491.57/678.53 = 325.80/x
  3. Step 3: Cross multiply
    491.57x = 678.53 × 325.80
  4. Step 4: Simplify right side
    491.57x = 221,065.07
  5. Step 5: Solve for x
    x = 221,065.07/491.57
  6. Step 6: Final answer
    x = 449.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.