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Finding the Fourth Proportional to 412.15, 614.76 and 375.24

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Solution

The fourth proportional to 412.15, 614.76 and 375.24 is: 559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.15 : 614.76 = 375.24 : x
  2. Step 2: Convert to fraction form
    412.15/614.76 = 375.24/x
  3. Step 3: Cross multiply
    412.15x = 614.76 × 375.24
  4. Step 4: Simplify right side
    412.15x = 230,682.54
  5. Step 5: Solve for x
    x = 230,682.54/412.15
  6. Step 6: Final answer
    x = 559.71

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