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Finding the Fourth Proportional to 362.48, 497.28 and 352.88

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Solution

The fourth proportional to 362.48, 497.28 and 352.88 is: 484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.48 : 497.28 = 352.88 : x
  2. Step 2: Convert to fraction form
    362.48/497.28 = 352.88/x
  3. Step 3: Cross multiply
    362.48x = 497.28 × 352.88
  4. Step 4: Simplify right side
    362.48x = 175,480.17
  5. Step 5: Solve for x
    x = 175,480.17/362.48
  6. Step 6: Final answer
    x = 484.11

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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.