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Finding the Fourth Proportional to 412.34, 569.21 and 263.16

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Solution

The fourth proportional to 412.34, 569.21 and 263.16 is: 363.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.34 : 569.21 = 263.16 : x
  2. Step 2: Convert to fraction form
    412.34/569.21 = 263.16/x
  3. Step 3: Cross multiply
    412.34x = 569.21 × 263.16
  4. Step 4: Simplify right side
    412.34x = 149,793.30
  5. Step 5: Solve for x
    x = 149,793.30/412.34
  6. Step 6: Final answer
    x = 363.28

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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.