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Finding the Fourth Proportional to 565.08, 779.85 and 332.34

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Solution

The fourth proportional to 565.08, 779.85 and 332.34 is: 458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.08 : 779.85 = 332.34 : x
  2. Step 2: Convert to fraction form
    565.08/779.85 = 332.34/x
  3. Step 3: Cross multiply
    565.08x = 779.85 × 332.34
  4. Step 4: Simplify right side
    565.08x = 259,175.35
  5. Step 5: Solve for x
    x = 259,175.35/565.08
  6. Step 6: Final answer
    x = 458.65

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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.