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Finding the Fourth Proportional to 467.96, 644.10 and 412.34

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Solution

The fourth proportional to 467.96, 644.10 and 412.34 is: 567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.96 : 644.10 = 412.34 : x
  2. Step 2: Convert to fraction form
    467.96/644.10 = 412.34/x
  3. Step 3: Cross multiply
    467.96x = 644.10 × 412.34
  4. Step 4: Simplify right side
    467.96x = 265,588.19
  5. Step 5: Solve for x
    x = 265,588.19/467.96
  6. Step 6: Final answer
    x = 567.54

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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.