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Finding the Fourth Proportional to 412.49, 618.10 and 275.03

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Solution

The fourth proportional to 412.49, 618.10 and 275.03 is: 412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.49 : 618.10 = 275.03 : x
  2. Step 2: Convert to fraction form
    412.49/618.10 = 275.03/x
  3. Step 3: Cross multiply
    412.49x = 618.10 × 275.03
  4. Step 4: Simplify right side
    412.49x = 169,994.58
  5. Step 5: Solve for x
    x = 169,994.58/412.49
  6. Step 6: Final answer
    x = 412.12

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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.