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Finding the Fourth Proportional to 472.68, 650.34 and 410.34

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Solution

The fourth proportional to 472.68, 650.34 and 410.34 is: 564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.68 : 650.34 = 410.34 : x
  2. Step 2: Convert to fraction form
    472.68/650.34 = 410.34/x
  3. Step 3: Cross multiply
    472.68x = 650.34 × 410.34
  4. Step 4: Simplify right side
    472.68x = 266,860.52
  5. Step 5: Solve for x
    x = 266,860.52/472.68
  6. Step 6: Final answer
    x = 564.57

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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.