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Finding the Fourth Proportional to 474.68, 653.10 and 412.34

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Solution

The fourth proportional to 474.68, 653.10 and 412.34 is: 567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.68 : 653.10 = 412.34 : x
  2. Step 2: Convert to fraction form
    474.68/653.10 = 412.34/x
  3. Step 3: Cross multiply
    474.68x = 653.10 × 412.34
  4. Step 4: Simplify right side
    474.68x = 269,299.25
  5. Step 5: Solve for x
    x = 269,299.25/474.68
  6. Step 6: Final answer
    x = 567.33

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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.