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Finding the Fourth Proportional to 618.24, 925.20 and 412.50

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Solution

The fourth proportional to 618.24, 925.20 and 412.50 is: 617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.24 : 925.20 = 412.50 : x
  2. Step 2: Convert to fraction form
    618.24/925.20 = 412.50/x
  3. Step 3: Cross multiply
    618.24x = 925.20 × 412.50
  4. Step 4: Simplify right side
    618.24x = 381,645
  5. Step 5: Solve for x
    x = 381,645/618.24
  6. Step 6: Final answer
    x = 617.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.