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Finding the Fourth Proportional to 423.36, 630.08 and 420.80

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Solution

The fourth proportional to 423.36, 630.08 and 420.80 is: 626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.36 : 630.08 = 420.80 : x
  2. Step 2: Convert to fraction form
    423.36/630.08 = 420.80/x
  3. Step 3: Cross multiply
    423.36x = 630.08 × 420.80
  4. Step 4: Simplify right side
    423.36x = 265,137.66
  5. Step 5: Solve for x
    x = 265,137.66/423.36
  6. Step 6: Final answer
    x = 626.27

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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.