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Finding the Fourth Proportional to 436.46, 601 and 412.42

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Solution

The fourth proportional to 436.46, 601 and 412.42 is: 567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.46 : 601 = 412.42 : x
  2. Step 2: Convert to fraction form
    436.46/601 = 412.42/x
  3. Step 3: Cross multiply
    436.46x = 601 × 412.42
  4. Step 4: Simplify right side
    436.46x = 247,864.42
  5. Step 5: Solve for x
    x = 247,864.42/436.46
  6. Step 6: Final answer
    x = 567.90

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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.