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Finding the Fourth Proportional to 362.26, 546.23 and 336.34

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Solution

The fourth proportional to 362.26, 546.23 and 336.34 is: 507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.26 : 546.23 = 336.34 : x
  2. Step 2: Convert to fraction form
    362.26/546.23 = 336.34/x
  3. Step 3: Cross multiply
    362.26x = 546.23 × 336.34
  4. Step 4: Simplify right side
    362.26x = 183,719.00
  5. Step 5: Solve for x
    x = 183,719.00/362.26
  6. Step 6: Final answer
    x = 507.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.