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Finding the Fourth Proportional to 402.28, 603.58 and 401.64

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Solution

The fourth proportional to 402.28, 603.58 and 401.64 is: 602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.28 : 603.58 = 401.64 : x
  2. Step 2: Convert to fraction form
    402.28/603.58 = 401.64/x
  3. Step 3: Cross multiply
    402.28x = 603.58 × 401.64
  4. Step 4: Simplify right side
    402.28x = 242,421.87
  5. Step 5: Solve for x
    x = 242,421.87/402.28
  6. Step 6: Final answer
    x = 602.62

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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.