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Finding the Fourth Proportional to 474.42, 656.37 and 452.82

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Solution

The fourth proportional to 474.42, 656.37 and 452.82 is: 626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.42 : 656.37 = 452.82 : x
  2. Step 2: Convert to fraction form
    474.42/656.37 = 452.82/x
  3. Step 3: Cross multiply
    474.42x = 656.37 × 452.82
  4. Step 4: Simplify right side
    474.42x = 297,217.46
  5. Step 5: Solve for x
    x = 297,217.46/474.42
  6. Step 6: Final answer
    x = 626.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.