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Finding the Fourth Proportional to 329.40, 493.56 and 288.36

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Solution

The fourth proportional to 329.40, 493.56 and 288.36 is: 432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.40 : 493.56 = 288.36 : x
  2. Step 2: Convert to fraction form
    329.40/493.56 = 288.36/x
  3. Step 3: Cross multiply
    329.40x = 493.56 × 288.36
  4. Step 4: Simplify right side
    329.40x = 142,322.96
  5. Step 5: Solve for x
    x = 142,322.96/329.40
  6. Step 6: Final answer
    x = 432.07

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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.