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Finding the Fourth Proportional to 565.55, 780.37 and 329.48

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Solution

The fourth proportional to 565.55, 780.37 and 329.48 is: 454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.55 : 780.37 = 329.48 : x
  2. Step 2: Convert to fraction form
    565.55/780.37 = 329.48/x
  3. Step 3: Cross multiply
    565.55x = 780.37 × 329.48
  4. Step 4: Simplify right side
    565.55x = 257,112.41
  5. Step 5: Solve for x
    x = 257,112.41/565.55
  6. Step 6: Final answer
    x = 454.63

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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.