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Finding the Fourth Proportional to 565.38, 779.94 and 332.46

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Solution

The fourth proportional to 565.38, 779.94 and 332.46 is: 458.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.38 : 779.94 = 332.46 : x
  2. Step 2: Convert to fraction form
    565.38/779.94 = 332.46/x
  3. Step 3: Cross multiply
    565.38x = 779.94 × 332.46
  4. Step 4: Simplify right side
    565.38x = 259,298.85
  5. Step 5: Solve for x
    x = 259,298.85/565.38
  6. Step 6: Final answer
    x = 458.63

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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.