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Finding the Fourth Proportional to 428.04, 639.63 and 328.68

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Solution

The fourth proportional to 428.04, 639.63 and 328.68 is: 491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.04 : 639.63 = 328.68 : x
  2. Step 2: Convert to fraction form
    428.04/639.63 = 328.68/x
  3. Step 3: Cross multiply
    428.04x = 639.63 × 328.68
  4. Step 4: Simplify right side
    428.04x = 210,233.59
  5. Step 5: Solve for x
    x = 210,233.59/428.04
  6. Step 6: Final answer
    x = 491.15

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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.