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Finding the Fourth Proportional to 362.52, 497.56 and 347.49

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Solution

The fourth proportional to 362.52, 497.56 and 347.49 is: 476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.52 : 497.56 = 347.49 : x
  2. Step 2: Convert to fraction form
    362.52/497.56 = 347.49/x
  3. Step 3: Cross multiply
    362.52x = 497.56 × 347.49
  4. Step 4: Simplify right side
    362.52x = 172,897.12
  5. Step 5: Solve for x
    x = 172,897.12/362.52
  6. Step 6: Final answer
    x = 476.93

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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.