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Finding the Fourth Proportional to 420.14, 630.33 and 255.74

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Solution

The fourth proportional to 420.14, 630.33 and 255.74 is: 383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.14 : 630.33 = 255.74 : x
  2. Step 2: Convert to fraction form
    420.14/630.33 = 255.74/x
  3. Step 3: Cross multiply
    420.14x = 630.33 × 255.74
  4. Step 4: Simplify right side
    420.14x = 161,200.59
  5. Step 5: Solve for x
    x = 161,200.59/420.14
  6. Step 6: Final answer
    x = 383.68

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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.