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Finding the Fourth Proportional to 420.32, 630.16 and 298.56

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Solution

The fourth proportional to 420.32, 630.16 and 298.56 is: 447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.32 : 630.16 = 298.56 : x
  2. Step 2: Convert to fraction form
    420.32/630.16 = 298.56/x
  3. Step 3: Cross multiply
    420.32x = 630.16 × 298.56
  4. Step 4: Simplify right side
    420.32x = 188,140.57
  5. Step 5: Solve for x
    x = 188,140.57/420.32
  6. Step 6: Final answer
    x = 447.61

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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.