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Finding the Fourth Proportional to 423.64, 635.14 and 286.30

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Solution

The fourth proportional to 423.64, 635.14 and 286.30 is: 429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.64 : 635.14 = 286.30 : x
  2. Step 2: Convert to fraction form
    423.64/635.14 = 286.30/x
  3. Step 3: Cross multiply
    423.64x = 635.14 × 286.30
  4. Step 4: Simplify right side
    423.64x = 181,840.58
  5. Step 5: Solve for x
    x = 181,840.58/423.64
  6. Step 6: Final answer
    x = 429.23

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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.