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Finding the Fourth Proportional to 469.53, 647.66 and 351.54

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Solution

The fourth proportional to 469.53, 647.66 and 351.54 is: 484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.53 : 647.66 = 351.54 : x
  2. Step 2: Convert to fraction form
    469.53/647.66 = 351.54/x
  3. Step 3: Cross multiply
    469.53x = 647.66 × 351.54
  4. Step 4: Simplify right side
    469.53x = 227,679.28
  5. Step 5: Solve for x
    x = 227,679.28/469.53
  6. Step 6: Final answer
    x = 484.91

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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.