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Finding the Fourth Proportional to 414.10, 618.51 and 375

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Solution

The fourth proportional to 414.10, 618.51 and 375 is: 560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.10 : 618.51 = 375 : x
  2. Step 2: Convert to fraction form
    414.10/618.51 = 375/x
  3. Step 3: Cross multiply
    414.10x = 618.51 × 375
  4. Step 4: Simplify right side
    414.10x = 231,941.25
  5. Step 5: Solve for x
    x = 231,941.25/414.10
  6. Step 6: Final answer
    x = 560.11

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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.