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Finding the Fourth Proportional to 552.07, 826.16 and 377.56

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Solution

The fourth proportional to 552.07, 826.16 and 377.56 is: 565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.07 : 826.16 = 377.56 : x
  2. Step 2: Convert to fraction form
    552.07/826.16 = 377.56/x
  3. Step 3: Cross multiply
    552.07x = 826.16 × 377.56
  4. Step 4: Simplify right side
    552.07x = 311,926.77
  5. Step 5: Solve for x
    x = 311,926.77/552.07
  6. Step 6: Final answer
    x = 565.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.