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Finding the Fourth Proportional to 552.24, 761.88 and 345.36

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Solution

The fourth proportional to 552.24, 761.88 and 345.36 is: 476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.24 : 761.88 = 345.36 : x
  2. Step 2: Convert to fraction form
    552.24/761.88 = 345.36/x
  3. Step 3: Cross multiply
    552.24x = 761.88 × 345.36
  4. Step 4: Simplify right side
    552.24x = 263,122.88
  5. Step 5: Solve for x
    x = 263,122.88/552.24
  6. Step 6: Final answer
    x = 476.46

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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.