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Finding the Fourth Proportional to 565.47, 780.41 and 329.42

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Solution

The fourth proportional to 565.47, 780.41 and 329.42 is: 454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.47 : 780.41 = 329.42 : x
  2. Step 2: Convert to fraction form
    565.47/780.41 = 329.42/x
  3. Step 3: Cross multiply
    565.47x = 780.41 × 329.42
  4. Step 4: Simplify right side
    565.47x = 257,085.44
  5. Step 5: Solve for x
    x = 257,085.44/565.47
  6. Step 6: Final answer
    x = 454.64

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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.