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Finding the Fourth Proportional to 632.21, 947.57 and 437.27

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Solution

The fourth proportional to 632.21, 947.57 and 437.27 is: 655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.21 : 947.57 = 437.27 : x
  2. Step 2: Convert to fraction form
    632.21/947.57 = 437.27/x
  3. Step 3: Cross multiply
    632.21x = 947.57 × 437.27
  4. Step 4: Simplify right side
    632.21x = 414,337.01
  5. Step 5: Solve for x
    x = 414,337.01/632.21
  6. Step 6: Final answer
    x = 655.38

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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.