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Finding the Fourth Proportional to 565, 779.70 and 343.92

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Solution

The fourth proportional to 565, 779.70 and 343.92 is: 474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565 : 779.70 = 343.92 : x
  2. Step 2: Convert to fraction form
    565/779.70 = 343.92/x
  3. Step 3: Cross multiply
    565x = 779.70 × 343.92
  4. Step 4: Simplify right side
    565x = 268,154.42
  5. Step 5: Solve for x
    x = 268,154.42/565
  6. Step 6: Final answer
    x = 474.61

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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.