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Finding the Fourth Proportional to 565.22, 779.92 and 316.52

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Solution

The fourth proportional to 565.22, 779.92 and 316.52 is: 436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.22 : 779.92 = 316.52 : x
  2. Step 2: Convert to fraction form
    565.22/779.92 = 316.52/x
  3. Step 3: Cross multiply
    565.22x = 779.92 × 316.52
  4. Step 4: Simplify right side
    565.22x = 246,860.28
  5. Step 5: Solve for x
    x = 246,860.28/565.22
  6. Step 6: Final answer
    x = 436.75

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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.