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Finding the Fourth Proportional to 476.15, 713.01 and 421.88

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Solution

The fourth proportional to 476.15, 713.01 and 421.88 is: 631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.15 : 713.01 = 421.88 : x
  2. Step 2: Convert to fraction form
    476.15/713.01 = 421.88/x
  3. Step 3: Cross multiply
    476.15x = 713.01 × 421.88
  4. Step 4: Simplify right side
    476.15x = 300,804.66
  5. Step 5: Solve for x
    x = 300,804.66/476.15
  6. Step 6: Final answer
    x = 631.74

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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.