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Finding the Fourth Proportional to 340.68, 466.56 and 324.24

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Solution

The fourth proportional to 340.68, 466.56 and 324.24 is: 444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.68 : 466.56 = 324.24 : x
  2. Step 2: Convert to fraction form
    340.68/466.56 = 324.24/x
  3. Step 3: Cross multiply
    340.68x = 466.56 × 324.24
  4. Step 4: Simplify right side
    340.68x = 151,277.41
  5. Step 5: Solve for x
    x = 151,277.41/340.68
  6. Step 6: Final answer
    x = 444.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.