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Finding the Fourth Proportional to 423.65, 635.20 and 177.02

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Solution

The fourth proportional to 423.65, 635.20 and 177.02 is: 265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.65 : 635.20 = 177.02 : x
  2. Step 2: Convert to fraction form
    423.65/635.20 = 177.02/x
  3. Step 3: Cross multiply
    423.65x = 635.20 × 177.02
  4. Step 4: Simplify right side
    423.65x = 112,443.10
  5. Step 5: Solve for x
    x = 112,443.10/423.65
  6. Step 6: Final answer
    x = 265.42

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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.