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Finding the Fourth Proportional to 420.38, 630.45 and 176.90

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Solution

The fourth proportional to 420.38, 630.45 and 176.90 is: 265.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.38 : 630.45 = 176.90 : x
  2. Step 2: Convert to fraction form
    420.38/630.45 = 176.90/x
  3. Step 3: Cross multiply
    420.38x = 630.45 × 176.90
  4. Step 4: Simplify right side
    420.38x = 111,523.45
  5. Step 5: Solve for x
    x = 111,523.45/420.38
  6. Step 6: Final answer
    x = 265.30

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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.