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Finding the Fourth Proportional to 362.34, 496.95 and 347.46

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Solution

The fourth proportional to 362.34, 496.95 and 347.46 is: 476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.34 : 496.95 = 347.46 : x
  2. Step 2: Convert to fraction form
    362.34/496.95 = 347.46/x
  3. Step 3: Cross multiply
    362.34x = 496.95 × 347.46
  4. Step 4: Simplify right side
    362.34x = 172,670.25
  5. Step 5: Solve for x
    x = 172,670.25/362.34
  6. Step 6: Final answer
    x = 476.54

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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.