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Finding the Fourth Proportional to 565.19, 779.97 and 316.50

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Solution

The fourth proportional to 565.19, 779.97 and 316.50 is: 436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.19 : 779.97 = 316.50 : x
  2. Step 2: Convert to fraction form
    565.19/779.97 = 316.50/x
  3. Step 3: Cross multiply
    565.19x = 779.97 × 316.50
  4. Step 4: Simplify right side
    565.19x = 246,855.02
  5. Step 5: Solve for x
    x = 246,855.02/565.19
  6. Step 6: Final answer
    x = 436.76

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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.