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Finding the Fourth Proportional to 362.88, 548.64 and 345.24

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Solution

The fourth proportional to 362.88, 548.64 and 345.24 is: 521.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.88 : 548.64 = 345.24 : x
  2. Step 2: Convert to fraction form
    362.88/548.64 = 345.24/x
  3. Step 3: Cross multiply
    362.88x = 548.64 × 345.24
  4. Step 4: Simplify right side
    362.88x = 189,412.47
  5. Step 5: Solve for x
    x = 189,412.47/362.88
  6. Step 6: Final answer
    x = 521.97

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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.