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Finding the Fourth Proportional to 412.47, 618.82 and 230.00

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Solution

The fourth proportional to 412.47, 618.82 and 230.00 is: 345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.47 : 618.82 = 230.00 : x
  2. Step 2: Convert to fraction form
    412.47/618.82 = 230.00/x
  3. Step 3: Cross multiply
    412.47x = 618.82 × 230.00
  4. Step 4: Simplify right side
    412.47x = 142,325.51
  5. Step 5: Solve for x
    x = 142,325.51/412.47
  6. Step 6: Final answer
    x = 345.06

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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.