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Finding the Fourth Proportional to 412.68, 569.16 and 363.60

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Solution

The fourth proportional to 412.68, 569.16 and 363.60 is: 501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.68 : 569.16 = 363.60 : x
  2. Step 2: Convert to fraction form
    412.68/569.16 = 363.60/x
  3. Step 3: Cross multiply
    412.68x = 569.16 × 363.60
  4. Step 4: Simplify right side
    412.68x = 206,946.58
  5. Step 5: Solve for x
    x = 206,946.58/412.68
  6. Step 6: Final answer
    x = 501.47

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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.