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Finding the Fourth Proportional to 565.34, 780.34 and 344.42

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Solution

The fourth proportional to 565.34, 780.34 and 344.42 is: 475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.34 : 780.34 = 344.42 : x
  2. Step 2: Convert to fraction form
    565.34/780.34 = 344.42/x
  3. Step 3: Cross multiply
    565.34x = 780.34 × 344.42
  4. Step 4: Simplify right side
    565.34x = 268,764.70
  5. Step 5: Solve for x
    x = 268,764.70/565.34
  6. Step 6: Final answer
    x = 475.40

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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.