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Finding the Fourth Proportional to 483.51, 728.11 and 347.51

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Solution

The fourth proportional to 483.51, 728.11 and 347.51 is: 523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.51 : 728.11 = 347.51 : x
  2. Step 2: Convert to fraction form
    483.51/728.11 = 347.51/x
  3. Step 3: Cross multiply
    483.51x = 728.11 × 347.51
  4. Step 4: Simplify right side
    483.51x = 253,021.71
  5. Step 5: Solve for x
    x = 253,021.71/483.51
  6. Step 6: Final answer
    x = 523.30

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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.