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Finding the Fourth Proportional to 420.56, 631.50 and 399.98

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Solution

The fourth proportional to 420.56, 631.50 and 399.98 is: 600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.56 : 631.50 = 399.98 : x
  2. Step 2: Convert to fraction form
    420.56/631.50 = 399.98/x
  3. Step 3: Cross multiply
    420.56x = 631.50 × 399.98
  4. Step 4: Simplify right side
    420.56x = 252,587.37
  5. Step 5: Solve for x
    x = 252,587.37/420.56
  6. Step 6: Final answer
    x = 600.60

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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.