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Finding the Fourth Proportional to 412.41, 616.02 and 375.96

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Solution

The fourth proportional to 412.41, 616.02 and 375.96 is: 561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.41 : 616.02 = 375.96 : x
  2. Step 2: Convert to fraction form
    412.41/616.02 = 375.96/x
  3. Step 3: Cross multiply
    412.41x = 616.02 × 375.96
  4. Step 4: Simplify right side
    412.41x = 231,598.88
  5. Step 5: Solve for x
    x = 231,598.88/412.41
  6. Step 6: Final answer
    x = 561.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.