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Finding the Fourth Proportional to 412, 566.33 and 362.32

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Solution

The fourth proportional to 412, 566.33 and 362.32 is: 498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412 : 566.33 = 362.32 : x
  2. Step 2: Convert to fraction form
    412/566.33 = 362.32/x
  3. Step 3: Cross multiply
    412x = 566.33 × 362.32
  4. Step 4: Simplify right side
    412x = 205,192.69
  5. Step 5: Solve for x
    x = 205,192.69/412
  6. Step 6: Final answer
    x = 498.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.