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Finding the Fourth Proportional to 565.47, 780.21 and 388.80

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Solution

The fourth proportional to 565.47, 780.21 and 388.80 is: 536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.47 : 780.21 = 388.80 : x
  2. Step 2: Convert to fraction form
    565.47/780.21 = 388.80/x
  3. Step 3: Cross multiply
    565.47x = 780.21 × 388.80
  4. Step 4: Simplify right side
    565.47x = 303,345.65
  5. Step 5: Solve for x
    x = 303,345.65/565.47
  6. Step 6: Final answer
    x = 536.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.