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Finding the Fourth Proportional to 329.40, 491.55 and 281.40

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Solution

The fourth proportional to 329.40, 491.55 and 281.40 is: 419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.40 : 491.55 = 281.40 : x
  2. Step 2: Convert to fraction form
    329.40/491.55 = 281.40/x
  3. Step 3: Cross multiply
    329.40x = 491.55 × 281.40
  4. Step 4: Simplify right side
    329.40x = 138,322.17
  5. Step 5: Solve for x
    x = 138,322.17/329.40
  6. Step 6: Final answer
    x = 419.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.