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Finding the Fourth Proportional to 412.42, 567.68 and 359.87

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Solution

The fourth proportional to 412.42, 567.68 and 359.87 is: 495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.42 : 567.68 = 359.87 : x
  2. Step 2: Convert to fraction form
    412.42/567.68 = 359.87/x
  3. Step 3: Cross multiply
    412.42x = 567.68 × 359.87
  4. Step 4: Simplify right side
    412.42x = 204,290.48
  5. Step 5: Solve for x
    x = 204,290.48/412.42
  6. Step 6: Final answer
    x = 495.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.