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Finding the Fourth Proportional to 420.38, 630.62 and 177.02

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Solution

The fourth proportional to 420.38, 630.62 and 177.02 is: 265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.38 : 630.62 = 177.02 : x
  2. Step 2: Convert to fraction form
    420.38/630.62 = 177.02/x
  3. Step 3: Cross multiply
    420.38x = 630.62 × 177.02
  4. Step 4: Simplify right side
    420.38x = 111,632.35
  5. Step 5: Solve for x
    x = 111,632.35/420.38
  6. Step 6: Final answer
    x = 265.55

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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.