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Finding the Fourth Proportional to 552.09, 761.82 and 316.05

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Solution

The fourth proportional to 552.09, 761.82 and 316.05 is: 436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.09 : 761.82 = 316.05 : x
  2. Step 2: Convert to fraction form
    552.09/761.82 = 316.05/x
  3. Step 3: Cross multiply
    552.09x = 761.82 × 316.05
  4. Step 4: Simplify right side
    552.09x = 240,773.21
  5. Step 5: Solve for x
    x = 240,773.21/552.09
  6. Step 6: Final answer
    x = 436.11

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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.