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Finding the Fourth Proportional to 412.73, 618.93 and 152.75

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Solution

The fourth proportional to 412.73, 618.93 and 152.75 is: 229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.73 : 618.93 = 152.75 : x
  2. Step 2: Convert to fraction form
    412.73/618.93 = 152.75/x
  3. Step 3: Cross multiply
    412.73x = 618.93 × 152.75
  4. Step 4: Simplify right side
    412.73x = 94,543.10
  5. Step 5: Solve for x
    x = 94,543.10/412.73
  6. Step 6: Final answer
    x = 229.07

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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.