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Finding the Fourth Proportional to 423.30, 630.66 and 402.64

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Solution

The fourth proportional to 423.30, 630.66 and 402.64 is: 599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.30 : 630.66 = 402.64 : x
  2. Step 2: Convert to fraction form
    423.30/630.66 = 402.64/x
  3. Step 3: Cross multiply
    423.30x = 630.66 × 402.64
  4. Step 4: Simplify right side
    423.30x = 253,928.94
  5. Step 5: Solve for x
    x = 253,928.94/423.30
  6. Step 6: Final answer
    x = 599.88

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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.