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Finding the Fourth Proportional to 352.02, 484.47 and 297.48

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Solution

The fourth proportional to 352.02, 484.47 and 297.48 is: 409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.02 : 484.47 = 297.48 : x
  2. Step 2: Convert to fraction form
    352.02/484.47 = 297.48/x
  3. Step 3: Cross multiply
    352.02x = 484.47 × 297.48
  4. Step 4: Simplify right side
    352.02x = 144,120.14
  5. Step 5: Solve for x
    x = 144,120.14/352.02
  6. Step 6: Final answer
    x = 409.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.