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Finding the Fourth Proportional to 412.07, 617.96 and 152.01

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Solution

The fourth proportional to 412.07, 617.96 and 152.01 is: 227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.07 : 617.96 = 152.01 : x
  2. Step 2: Convert to fraction form
    412.07/617.96 = 152.01/x
  3. Step 3: Cross multiply
    412.07x = 617.96 × 152.01
  4. Step 4: Simplify right side
    412.07x = 93,935.34
  5. Step 5: Solve for x
    x = 93,935.34/412.07
  6. Step 6: Final answer
    x = 227.96

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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.