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Finding the Fourth Proportional to 552.05, 761.84 and 316.03

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Solution

The fourth proportional to 552.05, 761.84 and 316.03 is: 436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.05 : 761.84 = 316.03 : x
  2. Step 2: Convert to fraction form
    552.05/761.84 = 316.03/x
  3. Step 3: Cross multiply
    552.05x = 761.84 × 316.03
  4. Step 4: Simplify right side
    552.05x = 240,764.30
  5. Step 5: Solve for x
    x = 240,764.30/552.05
  6. Step 6: Final answer
    x = 436.13

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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.