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Finding the Fourth Proportional to 420.49, 630.02 and 298.14

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Solution

The fourth proportional to 420.49, 630.02 and 298.14 is: 446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.49 : 630.02 = 298.14 : x
  2. Step 2: Convert to fraction form
    420.49/630.02 = 298.14/x
  3. Step 3: Cross multiply
    420.49x = 630.02 × 298.14
  4. Step 4: Simplify right side
    420.49x = 187,834.16
  5. Step 5: Solve for x
    x = 187,834.16/420.49
  6. Step 6: Final answer
    x = 446.71

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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.