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Finding the Fourth Proportional to 565.58, 780.64 and 344.71

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Solution

The fourth proportional to 565.58, 780.64 and 344.71 is: 475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.58 : 780.64 = 344.71 : x
  2. Step 2: Convert to fraction form
    565.58/780.64 = 344.71/x
  3. Step 3: Cross multiply
    565.58x = 780.64 × 344.71
  4. Step 4: Simplify right side
    565.58x = 269,090.14
  5. Step 5: Solve for x
    x = 269,090.14/565.58
  6. Step 6: Final answer
    x = 475.78

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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.