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Finding the Fourth Proportional to 420.32, 628.85 and 366.10

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Solution

The fourth proportional to 420.32, 628.85 and 366.10 is: 547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.32 : 628.85 = 366.10 : x
  2. Step 2: Convert to fraction form
    420.32/628.85 = 366.10/x
  3. Step 3: Cross multiply
    420.32x = 628.85 × 366.10
  4. Step 4: Simplify right side
    420.32x = 230,221.33
  5. Step 5: Solve for x
    x = 230,221.33/420.32
  6. Step 6: Final answer
    x = 547.73

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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.