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Finding the Fourth Proportional to 491.60, 677.93 and 325.64

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Solution

The fourth proportional to 491.60, 677.93 and 325.64 is: 449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.60 : 677.93 = 325.64 : x
  2. Step 2: Convert to fraction form
    491.60/677.93 = 325.64/x
  3. Step 3: Cross multiply
    491.60x = 677.93 × 325.64
  4. Step 4: Simplify right side
    491.60x = 220,761.19
  5. Step 5: Solve for x
    x = 220,761.19/491.60
  6. Step 6: Final answer
    x = 449.06

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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.