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Finding the Fourth Proportional to 428.36, 639.61 and 355.28

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Solution

The fourth proportional to 428.36, 639.61 and 355.28 is: 530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.36 : 639.61 = 355.28 : x
  2. Step 2: Convert to fraction form
    428.36/639.61 = 355.28/x
  3. Step 3: Cross multiply
    428.36x = 639.61 × 355.28
  4. Step 4: Simplify right side
    428.36x = 227,240.64
  5. Step 5: Solve for x
    x = 227,240.64/428.36
  6. Step 6: Final answer
    x = 530.49

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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.