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Finding the Fourth Proportional to 565.25, 780.67 and 388.68

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Solution

The fourth proportional to 565.25, 780.67 and 388.68 is: 536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.25 : 780.67 = 388.68 : x
  2. Step 2: Convert to fraction form
    565.25/780.67 = 388.68/x
  3. Step 3: Cross multiply
    565.25x = 780.67 × 388.68
  4. Step 4: Simplify right side
    565.25x = 303,428.87
  5. Step 5: Solve for x
    x = 303,428.87/565.25
  6. Step 6: Final answer
    x = 536.80

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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.