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Finding the Fourth Proportional to 412.29, 569.84 and 367.74

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Solution

The fourth proportional to 412.29, 569.84 and 367.74 is: 508.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.29 : 569.84 = 367.74 : x
  2. Step 2: Convert to fraction form
    412.29/569.84 = 367.74/x
  3. Step 3: Cross multiply
    412.29x = 569.84 × 367.74
  4. Step 4: Simplify right side
    412.29x = 209,551.12
  5. Step 5: Solve for x
    x = 209,551.12/412.29
  6. Step 6: Final answer
    x = 508.26

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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.