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Finding the Fourth Proportional to 375.44, 560.34 and 365.76

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Solution

The fourth proportional to 375.44, 560.34 and 365.76 is: 545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.44 : 560.34 = 365.76 : x
  2. Step 2: Convert to fraction form
    375.44/560.34 = 365.76/x
  3. Step 3: Cross multiply
    375.44x = 560.34 × 365.76
  4. Step 4: Simplify right side
    375.44x = 204,949.96
  5. Step 5: Solve for x
    x = 204,949.96/375.44
  6. Step 6: Final answer
    x = 545.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.